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Simplifying 5 + 5c = 12 + 12c Solving 5 + 5c = 12 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 5 + 5c + -12c = 12 + 12c + -12c Combine like terms: 5c + -12c = -7c 5 + -7c = 12 + 12c + -12c Combine like terms: 12c + -12c = 0 5 + -7c = 12 + 0 5 + -7c = 12 Add '-5' to each side of the equation. 5 + -5 + -7c = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -7c = 12 + -5 -7c = 12 + -5 Combine like terms: 12 + -5 = 7 -7c = 7 Divide each side by '-7'. c = -1 Simplifying c = -1
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