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Simplifying 4(c + 12) = 2c + 17 Reorder the terms: 4(12 + c) = 2c + 17 (12 * 4 + c * 4) = 2c + 17 (48 + 4c) = 2c + 17 Reorder the terms: 48 + 4c = 17 + 2c Solving 48 + 4c = 17 + 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. 48 + 4c + -2c = 17 + 2c + -2c Combine like terms: 4c + -2c = 2c 48 + 2c = 17 + 2c + -2c Combine like terms: 2c + -2c = 0 48 + 2c = 17 + 0 48 + 2c = 17 Add '-48' to each side of the equation. 48 + -48 + 2c = 17 + -48 Combine like terms: 48 + -48 = 0 0 + 2c = 17 + -48 2c = 17 + -48 Combine like terms: 17 + -48 = -31 2c = -31 Divide each side by '2'. c = -15.5 Simplifying c = -15.5
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