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Simplifying 3c + 2(c + 2) = 13 + -1(2c + -5) Reorder the terms: 3c + 2(2 + c) = 13 + -1(2c + -5) 3c + (2 * 2 + c * 2) = 13 + -1(2c + -5) 3c + (4 + 2c) = 13 + -1(2c + -5) Reorder the terms: 4 + 3c + 2c = 13 + -1(2c + -5) Combine like terms: 3c + 2c = 5c 4 + 5c = 13 + -1(2c + -5) Reorder the terms: 4 + 5c = 13 + -1(-5 + 2c) 4 + 5c = 13 + (-5 * -1 + 2c * -1) 4 + 5c = 13 + (5 + -2c) Combine like terms: 13 + 5 = 18 4 + 5c = 18 + -2c Solving 4 + 5c = 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. 4 + 5c + 2c = 18 + -2c + 2c Combine like terms: 5c + 2c = 7c 4 + 7c = 18 + -2c + 2c Combine like terms: -2c + 2c = 0 4 + 7c = 18 + 0 4 + 7c = 18 Add '-4' to each side of the equation. 4 + -4 + 7c = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7c = 18 + -4 7c = 18 + -4 Combine like terms: 18 + -4 = 14 7c = 14 Divide each side by '7'. c = 2 Simplifying c = 2
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