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Simplifying 18 = -2c + 4(c + 12) Reorder the terms: 18 = -2c + 4(12 + c) 18 = -2c + (12 * 4 + c * 4) 18 = -2c + (48 + 4c) Reorder the terms: 18 = 48 + -2c + 4c Combine like terms: -2c + 4c = 2c 18 = 48 + 2c Solving 18 = 48 + 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. 18 + -2c = 48 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + -2c = 48 + 0 18 + -2c = 48 Add '-18' to each side of the equation. 18 + -18 + -2c = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -2c = 48 + -18 -2c = 48 + -18 Combine like terms: 48 + -18 = 30 -2c = 30 Divide each side by '-2'. c = -15 Simplifying c = -15
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