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Simplifying 8(c + -9) = (6 + -12) + -4c Reorder the terms: 8(-9 + c) = (6 + -12) + -4c (-9 * 8 + c * 8) = (6 + -12) + -4c (-72 + 8c) = (6 + -12) + -4c Combine like terms: 6 + -12 = -6 -72 + 8c = (-6) + -4c -72 + 8c = -6 + -4c Solving -72 + 8c = -6 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -72 + 8c + 4c = -6 + -4c + 4c Combine like terms: 8c + 4c = 12c -72 + 12c = -6 + -4c + 4c Combine like terms: -4c + 4c = 0 -72 + 12c = -6 + 0 -72 + 12c = -6 Add '72' to each side of the equation. -72 + 72 + 12c = -6 + 72 Combine like terms: -72 + 72 = 0 0 + 12c = -6 + 72 12c = -6 + 72 Combine like terms: -6 + 72 = 66 12c = 66 Divide each side by '12'. c = 5.5 Simplifying c = 5.5
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