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Simplifying c + 12 = -4c + 78 Reorder the terms: 12 + c = -4c + 78 Reorder the terms: 12 + c = 78 + -4c Solving 12 + c = 78 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 12 + c + 4c = 78 + -4c + 4c Combine like terms: c + 4c = 5c 12 + 5c = 78 + -4c + 4c Combine like terms: -4c + 4c = 0 12 + 5c = 78 + 0 12 + 5c = 78 Add '-12' to each side of the equation. 12 + -12 + 5c = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 5c = 78 + -12 5c = 78 + -12 Combine like terms: 78 + -12 = 66 5c = 66 Divide each side by '5'. c = 13.2 Simplifying c = 13.2
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