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Simplifying 8(c + -9) = 9(2c + -12) + -4c Reorder the terms: 8(-9 + c) = 9(2c + -12) + -4c (-9 * 8 + c * 8) = 9(2c + -12) + -4c (-72 + 8c) = 9(2c + -12) + -4c Reorder the terms: -72 + 8c = 9(-12 + 2c) + -4c -72 + 8c = (-12 * 9 + 2c * 9) + -4c -72 + 8c = (-108 + 18c) + -4c Combine like terms: 18c + -4c = 14c -72 + 8c = -108 + 14c Solving -72 + 8c = -108 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -72 + 8c + -14c = -108 + 14c + -14c Combine like terms: 8c + -14c = -6c -72 + -6c = -108 + 14c + -14c Combine like terms: 14c + -14c = 0 -72 + -6c = -108 + 0 -72 + -6c = -108 Add '72' to each side of the equation. -72 + 72 + -6c = -108 + 72 Combine like terms: -72 + 72 = 0 0 + -6c = -108 + 72 -6c = -108 + 72 Combine like terms: -108 + 72 = -36 -6c = -36 Divide each side by '-6'. c = 6 Simplifying c = 6
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