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Simplifying 5(c + 1) = 3(c + 5) Reorder the terms: 5(1 + c) = 3(c + 5) (1 * 5 + c * 5) = 3(c + 5) (5 + 5c) = 3(c + 5) Reorder the terms: 5 + 5c = 3(5 + c) 5 + 5c = (5 * 3 + c * 3) 5 + 5c = (15 + 3c) Solving 5 + 5c = 15 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 5 + 5c + -3c = 15 + 3c + -3c Combine like terms: 5c + -3c = 2c 5 + 2c = 15 + 3c + -3c Combine like terms: 3c + -3c = 0 5 + 2c = 15 + 0 5 + 2c = 15 Add '-5' to each side of the equation. 5 + -5 + 2c = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 15 + -5 2c = 15 + -5 Combine like terms: 15 + -5 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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