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Simplifying 12 + 3c = 8(c + -1) Reorder the terms: 12 + 3c = 8(-1 + c) 12 + 3c = (-1 * 8 + c * 8) 12 + 3c = (-8 + 8c) Solving 12 + 3c = -8 + 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 + 3c + -8c = -8 + 8c + -8c Combine like terms: 3c + -8c = -5c 12 + -5c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -5c = -8 + 0 12 + -5c = -8 Add '-12' to each side of the equation. 12 + -12 + -5c = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5c = -8 + -12 -5c = -8 + -12 Combine like terms: -8 + -12 = -20 -5c = -20 Divide each side by '-5'. c = 4 Simplifying c = 4
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