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Simplifying 12c = 6(4c + 16) + 12 Reorder the terms: 12c = 6(16 + 4c) + 12 12c = (16 * 6 + 4c * 6) + 12 12c = (96 + 24c) + 12 Reorder the terms: 12c = 96 + 12 + 24c Combine like terms: 96 + 12 = 108 12c = 108 + 24c Solving 12c = 108 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. 12c + -24c = 108 + 24c + -24c Combine like terms: 12c + -24c = -12c -12c = 108 + 24c + -24c Combine like terms: 24c + -24c = 0 -12c = 108 + 0 -12c = 108 Divide each side by '-12'. c = -9 Simplifying c = -9
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