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Simplifying 56 + 12c = c * 8 + 80 Reorder the terms for easier multiplication: 56 + 12c = 8c + 80 Reorder the terms: 56 + 12c = 80 + 8c Solving 56 + 12c = 80 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 56 + 12c + -8c = 80 + 8c + -8c Combine like terms: 12c + -8c = 4c 56 + 4c = 80 + 8c + -8c Combine like terms: 8c + -8c = 0 56 + 4c = 80 + 0 56 + 4c = 80 Add '-56' to each side of the equation. 56 + -56 + 4c = 80 + -56 Combine like terms: 56 + -56 = 0 0 + 4c = 80 + -56 4c = 80 + -56 Combine like terms: 80 + -56 = 24 4c = 24 Divide each side by '4'. c = 6 Simplifying c = 6
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