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