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Simplifying 5(c + 12) = 2c + 18 Reorder the terms: 5(12 + c) = 2c + 18 (12 * 5 + c * 5) = 2c + 18 (60 + 5c) = 2c + 18 Reorder the terms: 60 + 5c = 18 + 2c Solving 60 + 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. 60 + 5c + -2c = 18 + 2c + -2c Combine like terms: 5c + -2c = 3c 60 + 3c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 60 + 3c = 18 + 0 60 + 3c = 18 Add '-60' to each side of the equation. 60 + -60 + 3c = 18 + -60 Combine like terms: 60 + -60 = 0 0 + 3c = 18 + -60 3c = 18 + -60 Combine like terms: 18 + -60 = -42 3c = -42 Divide each side by '3'. c = -14 Simplifying c = -14
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