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Simplifying 12c + 4 = 9c + 40 Reorder the terms: 4 + 12c = 9c + 40 Reorder the terms: 4 + 12c = 40 + 9c Solving 4 + 12c = 40 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 4 + 12c + -9c = 40 + 9c + -9c Combine like terms: 12c + -9c = 3c 4 + 3c = 40 + 9c + -9c Combine like terms: 9c + -9c = 0 4 + 3c = 40 + 0 4 + 3c = 40 Add '-4' to each side of the equation. 4 + -4 + 3c = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 3c = 40 + -4 3c = 40 + -4 Combine like terms: 40 + -4 = 36 3c = 36 Divide each side by '3'. c = 12 Simplifying c = 12
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