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Simplifying 3(c + 5) + -2c = 12 Reorder the terms: 3(5 + c) + -2c = 12 (5 * 3 + c * 3) + -2c = 12 (15 + 3c) + -2c = 12 Combine like terms: 3c + -2c = 1c 15 + 1c = 12 Solving 15 + 1c = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1c = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 12 + -15 1c = 12 + -15 Combine like terms: 12 + -15 = -3 1c = -3 Divide each side by '1'. c = -3 Simplifying c = -3
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