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Simplifying 5c + 9(12 + -1c) = 76 5c + (12 * 9 + -1c * 9) = 76 5c + (108 + -9c) = 76 Reorder the terms: 108 + 5c + -9c = 76 Combine like terms: 5c + -9c = -4c 108 + -4c = 76 Solving 108 + -4c = 76 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -4c = 76 + -108 Combine like terms: 108 + -108 = 0 0 + -4c = 76 + -108 -4c = 76 + -108 Combine like terms: 76 + -108 = -32 -4c = -32 Divide each side by '-4'. c = 8 Simplifying c = 8
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