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Simplifying 2(c + 3) + 5c = 15 + -1(2c + 18) Reorder the terms: 2(3 + c) + 5c = 15 + -1(2c + 18) (3 * 2 + c * 2) + 5c = 15 + -1(2c + 18) (6 + 2c) + 5c = 15 + -1(2c + 18) Combine like terms: 2c + 5c = 7c 6 + 7c = 15 + -1(2c + 18) Reorder the terms: 6 + 7c = 15 + -1(18 + 2c) 6 + 7c = 15 + (18 * -1 + 2c * -1) 6 + 7c = 15 + (-18 + -2c) Combine like terms: 15 + -18 = -3 6 + 7c = -3 + -2c Solving 6 + 7c = -3 + -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. 6 + 7c + 2c = -3 + -2c + 2c Combine like terms: 7c + 2c = 9c 6 + 9c = -3 + -2c + 2c Combine like terms: -2c + 2c = 0 6 + 9c = -3 + 0 6 + 9c = -3 Add '-6' to each side of the equation. 6 + -6 + 9c = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 9c = -3 + -6 9c = -3 + -6 Combine like terms: -3 + -6 = -9 9c = -9 Divide each side by '9'. c = -1 Simplifying c = -1
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