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Simplifying 6(a + -7) + 6 = 4(a + -7) Reorder the terms: 6(-7 + a) + 6 = 4(a + -7) (-7 * 6 + a * 6) + 6 = 4(a + -7) (-42 + 6a) + 6 = 4(a + -7) Reorder the terms: -42 + 6 + 6a = 4(a + -7) Combine like terms: -42 + 6 = -36 -36 + 6a = 4(a + -7) Reorder the terms: -36 + 6a = 4(-7 + a) -36 + 6a = (-7 * 4 + a * 4) -36 + 6a = (-28 + 4a) Solving -36 + 6a = -28 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -36 + 6a + -4a = -28 + 4a + -4a Combine like terms: 6a + -4a = 2a -36 + 2a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -36 + 2a = -28 + 0 -36 + 2a = -28 Add '36' to each side of the equation. -36 + 36 + 2a = -28 + 36 Combine like terms: -36 + 36 = 0 0 + 2a = -28 + 36 2a = -28 + 36 Combine like terms: -28 + 36 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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