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Simplifying 12 = 6(c + 5) + -3c Reorder the terms: 12 = 6(5 + c) + -3c 12 = (5 * 6 + c * 6) + -3c 12 = (30 + 6c) + -3c Combine like terms: 6c + -3c = 3c 12 = 30 + 3c Solving 12 = 30 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 12 + -3c = 30 + 3c + -3c Combine like terms: 3c + -3c = 0 12 + -3c = 30 + 0 12 + -3c = 30 Add '-12' to each side of the equation. 12 + -12 + -3c = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3c = 30 + -12 -3c = 30 + -12 Combine like terms: 30 + -12 = 18 -3c = 18 Divide each side by '-3'. c = -6 Simplifying c = -6
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