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Simplifying -8(c + -15) = (-96) + -4c Reorder the terms: -8(-15 + c) = (-96) + -4c (-15 * -8 + c * -8) = (-96) + -4c (120 + -8c) = (-96) + -4c 120 + -8c = -96 + -4c Solving 120 + -8c = -96 + -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. 120 + -8c + 4c = -96 + -4c + 4c Combine like terms: -8c + 4c = -4c 120 + -4c = -96 + -4c + 4c Combine like terms: -4c + 4c = 0 120 + -4c = -96 + 0 120 + -4c = -96 Add '-120' to each side of the equation. 120 + -120 + -4c = -96 + -120 Combine like terms: 120 + -120 = 0 0 + -4c = -96 + -120 -4c = -96 + -120 Combine like terms: -96 + -120 = -216 -4c = -216 Divide each side by '-4'. c = 54 Simplifying c = 54
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