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Simplifying 18 + 12c = 9(c + 18) Reorder the terms: 18 + 12c = 9(18 + c) 18 + 12c = (18 * 9 + c * 9) 18 + 12c = (162 + 9c) Solving 18 + 12c = 162 + 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. 18 + 12c + -9c = 162 + 9c + -9c Combine like terms: 12c + -9c = 3c 18 + 3c = 162 + 9c + -9c Combine like terms: 9c + -9c = 0 18 + 3c = 162 + 0 18 + 3c = 162 Add '-18' to each side of the equation. 18 + -18 + 3c = 162 + -18 Combine like terms: 18 + -18 = 0 0 + 3c = 162 + -18 3c = 162 + -18 Combine like terms: 162 + -18 = 144 3c = 144 Divide each side by '3'. c = 48 Simplifying c = 48
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