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Simplifying 3(2c + 5) = 5c + 18 Reorder the terms: 3(5 + 2c) = 5c + 18 (5 * 3 + 2c * 3) = 5c + 18 (15 + 6c) = 5c + 18 Reorder the terms: 15 + 6c = 18 + 5c Solving 15 + 6c = 18 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 15 + 6c + -5c = 18 + 5c + -5c Combine like terms: 6c + -5c = 1c 15 + 1c = 18 + 5c + -5c Combine like terms: 5c + -5c = 0 15 + 1c = 18 + 0 15 + 1c = 18 Add '-15' to each side of the equation. 15 + -15 + 1c = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 18 + -15 1c = 18 + -15 Combine like terms: 18 + -15 = 3 1c = 3 Divide each side by '1'. c = 3 Simplifying c = 3
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