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Simplifying A + 6 + -4a = 4(a + -3) + -4a Reorder the terms: 6 + A + -4a = 4(a + -3) + -4a Reorder the terms: 6 + A + -4a = 4(-3 + a) + -4a 6 + A + -4a = (-3 * 4 + a * 4) + -4a 6 + A + -4a = (-12 + 4a) + -4a Combine like terms: 4a + -4a = 0 6 + A + -4a = -12 + 0 6 + A + -4a = -12 Solving 6 + A + -4a = -12 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + A + -6 + -4a = -12 + -6 Reorder the terms: 6 + -6 + A + -4a = -12 + -6 Combine like terms: 6 + -6 = 0 0 + A + -4a = -12 + -6 A + -4a = -12 + -6 Combine like terms: -12 + -6 = -18 A + -4a = -18 Add '4a' to each side of the equation. A + -4a + 4a = -18 + 4a Combine like terms: -4a + 4a = 0 A + 0 = -18 + 4a A = -18 + 4a Simplifying A = -18 + 4a
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