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Simplifying a + A + C + X + Z + V + F + D + G + 1 = ABCDEFG Reorder the terms: 1 + A + C + D + F + G + V + X + Z + a = ABCDEFG Solving 1 + A + C + D + F + G + V + X + Z + a = ABCDEFG Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1ABCDEFG' to each side of the equation. 1 + A + C + D + F + G + V + X + Z + -1ABCDEFG + a = ABCDEFG + -1ABCDEFG Reorder the terms: 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = ABCDEFG + -1ABCDEFG Combine like terms: ABCDEFG + -1ABCDEFG = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 Add '-1' to each side of the equation. 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + -1 + a = 0 + -1 Reorder the terms: 1 + -1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1 A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1 Combine like terms: 0 + -1 = -1 A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1 Add '-1C' to each side of the equation. A + -1ABCDEFG + C + D + F + G + V + X + Z + -1C + a = -1 + -1C Reorder the terms: A + -1ABCDEFG + C + -1C + D + F + G + V + X + Z + a = -1 + -1C Combine like terms: C + -1C = 0 A + -1ABCDEFG + 0 + D + F + G + V + X + Z + a = -1 + -1C A + -1ABCDEFG + D + F + G + V + X + Z + a = -1 + -1C Add '-1D' to each side of the equation. A + -1ABCDEFG + D + F + G + V + X + Z + -1D + a = -1 + -1C + -1D Reorder the terms: A + -1ABCDEFG + D + -1D + F + G + V + X + Z + a = -1 + -1C + -1D Combine like terms: D + -1D = 0 A + -1ABCDEFG + 0 + F + G + V + X + Z + a = -1 + -1C + -1D A + -1ABCDEFG + F + G + V + X + Z + a = -1 + -1C + -1D Add '-1F' to each side of the equation. A + -1ABCDEFG + F + G + V + X + Z + -1F + a = -1 + -1C + -1D + -1F Reorder the terms: A + -1ABCDEFG + F + -1F + G + V + X + Z + a = -1 + -1C + -1D + -1F Combine like terms: F + -1F = 0 A + -1ABCDEFG + 0 + G + V + X + Z + a = -1 + -1C + -1D + -1F A + -1ABCDEFG + G + V + X + Z + a = -1 + -1C + -1D + -1F Add '-1G' to each side of the equation. A + -1ABCDEFG + G + V + X + Z + -1G + a = -1 + -1C + -1D + -1F + -1G Reorder the terms: A + -1ABCDEFG + G + -1G + V + X + Z + a = -1 + -1C + -1D + -1F + -1G Combine like terms: G + -1G = 0 A + -1ABCDEFG + 0 + V + X + Z + a = -1 + -1C + -1D + -1F + -1G A + -1ABCDEFG + V + X + Z + a = -1 + -1C + -1D + -1F + -1G Add '-1V' to each side of the equation. A + -1ABCDEFG + V + X + Z + -1V + a = -1 + -1C + -1D + -1F + -1G + -1V Reorder the terms: A + -1ABCDEFG + V + -1V + X + Z + a = -1 + -1C + -1D + -1F + -1G + -1V Combine like terms: V + -1V = 0 A + -1ABCDEFG + 0 + X + Z + a = -1 + -1C + -1D + -1F + -1G + -1V A + -1ABCDEFG + X + Z + a = -1 + -1C + -1D + -1F + -1G + -1V Add '-1X' to each side of the equation. A + -1ABCDEFG + X + Z + -1X + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X Reorder the terms: A + -1ABCDEFG + X + -1X + Z + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X Combine like terms: X + -1X = 0 A + -1ABCDEFG + 0 + Z + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X A + -1ABCDEFG + Z + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X Add '-1Z' to each side of the equation. A + -1ABCDEFG + Z + -1Z + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z Combine like terms: Z + -1Z = 0 A + -1ABCDEFG + 0 + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z A + -1ABCDEFG + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z Add '-1a' to each side of the equation. A + -1ABCDEFG + a + -1a = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z + -1a Combine like terms: a + -1a = 0 A + -1ABCDEFG + 0 = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z + -1a A + -1ABCDEFG = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z + -1a Reorder the terms: 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1 + -1C + -1D + -1F + -1G + -1V + -1X + -1Z + -1a + 1 + C + D + F + G + V + X + Z + a Reorder the terms: 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1 + 1 + -1C + C + -1D + D + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1 + 1 = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1C + C + -1D + D + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1C + C + -1D + D + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1C + C = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1D + D + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1D + D + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1D + D = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1F + F + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1F + F = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1G + G + -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1G + G = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1V + V + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1V + V + -1X + X + -1Z + Z + -1a + a Combine like terms: -1V + V = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1X + X + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1X + X + -1Z + Z + -1a + a Combine like terms: -1X + X = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1Z + Z + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1Z + Z + -1a + a Combine like terms: -1Z + Z = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 + -1a + a 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = -1a + a Combine like terms: -1a + a = 0 1 + A + -1ABCDEFG + C + D + F + G + V + X + Z + a = 0 The solution to this equation could not be determined.
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