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Simplifying -8(c + -9) = (2c + -12) + -4c Reorder the terms: -8(-9 + c) = (2c + -12) + -4c (-9 * -8 + c * -8) = (2c + -12) + -4c (72 + -8c) = (2c + -12) + -4c Reorder the terms: 72 + -8c = (-12 + 2c) + -4c Remove parenthesis around (-12 + 2c) 72 + -8c = -12 + 2c + -4c Combine like terms: 2c + -4c = -2c 72 + -8c = -12 + -2c Solving 72 + -8c = -12 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 72 + -8c + 2c = -12 + -2c + 2c Combine like terms: -8c + 2c = -6c 72 + -6c = -12 + -2c + 2c Combine like terms: -2c + 2c = 0 72 + -6c = -12 + 0 72 + -6c = -12 Add '-72' to each side of the equation. 72 + -72 + -6c = -12 + -72 Combine like terms: 72 + -72 = 0 0 + -6c = -12 + -72 -6c = -12 + -72 Combine like terms: -12 + -72 = -84 -6c = -84 Divide each side by '-6'. c = 14 Simplifying c = 14
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