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Simplifying 7c + 12 = 4c + 78 Reorder the terms: 12 + 7c = 4c + 78 Reorder the terms: 12 + 7c = 78 + 4c Solving 12 + 7c = 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 + 7c + -4c = 78 + 4c + -4c Combine like terms: 7c + -4c = 3c 12 + 3c = 78 + 4c + -4c Combine like terms: 4c + -4c = 0 12 + 3c = 78 + 0 12 + 3c = 78 Add '-12' to each side of the equation. 12 + -12 + 3c = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 3c = 78 + -12 3c = 78 + -12 Combine like terms: 78 + -12 = 66 3c = 66 Divide each side by '3'. c = 22 Simplifying c = 22
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