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Simplifying 3(c + 5) = 8c Reorder the terms: 3(5 + c) = 8c (5 * 3 + c * 3) = 8c (15 + 3c) = 8c Solving 15 + 3c = 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. 15 + 3c + -8c = 8c + -8c Combine like terms: 3c + -8c = -5c 15 + -5c = 8c + -8c Combine like terms: 8c + -8c = 0 15 + -5c = 0 Add '-15' to each side of the equation. 15 + -15 + -5c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5c = 0 + -15 -5c = 0 + -15 Combine like terms: 0 + -15 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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