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Simplifying 4(c + 12) = 9c + 18 Reorder the terms: 4(12 + c) = 9c + 18 (12 * 4 + c * 4) = 9c + 18 (48 + 4c) = 9c + 18 Reorder the terms: 48 + 4c = 18 + 9c Solving 48 + 4c = 18 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 48 + 4c + -9c = 18 + 9c + -9c Combine like terms: 4c + -9c = -5c 48 + -5c = 18 + 9c + -9c Combine like terms: 9c + -9c = 0 48 + -5c = 18 + 0 48 + -5c = 18 Add '-48' to each side of the equation. 48 + -48 + -5c = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -5c = 18 + -48 -5c = 18 + -48 Combine like terms: 18 + -48 = -30 -5c = -30 Divide each side by '-5'. c = 6 Simplifying c = 6
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