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Simplifying 12 = 3(c + -4) + 5c Reorder the terms: 12 = 3(-4 + c) + 5c 12 = (-4 * 3 + c * 3) + 5c 12 = (-12 + 3c) + 5c Combine like terms: 3c + 5c = 8c 12 = -12 + 8c Solving 12 = -12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 12 + -8c = -12 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -8c = -12 + 0 12 + -8c = -12 Add '-12' to each side of the equation. 12 + -12 + -8c = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8c = -12 + -12 -8c = -12 + -12 Combine like terms: -12 + -12 = -24 -8c = -24 Divide each side by '-8'. c = 3 Simplifying c = 3
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