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Simplifying -8(c + -9) = 6(2c + -12) + -4c Reorder the terms: -8(-9 + c) = 6(2c + -12) + -4c (-9 * -8 + c * -8) = 6(2c + -12) + -4c (72 + -8c) = 6(2c + -12) + -4c Reorder the terms: 72 + -8c = 6(-12 + 2c) + -4c 72 + -8c = (-12 * 6 + 2c * 6) + -4c 72 + -8c = (-72 + 12c) + -4c Combine like terms: 12c + -4c = 8c 72 + -8c = -72 + 8c Solving 72 + -8c = -72 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 72 + -8c + -8c = -72 + 8c + -8c Combine like terms: -8c + -8c = -16c 72 + -16c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 72 + -16c = -72 + 0 72 + -16c = -72 Add '-72' to each side of the equation. 72 + -72 + -16c = -72 + -72 Combine like terms: 72 + -72 = 0 0 + -16c = -72 + -72 -16c = -72 + -72 Combine like terms: -72 + -72 = -144 -16c = -144 Divide each side by '-16'. c = 9 Simplifying c = 9
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