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Simplifying 12c + 120 = 18c + 162 Reorder the terms: 120 + 12c = 18c + 162 Reorder the terms: 120 + 12c = 162 + 18c Solving 120 + 12c = 162 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 120 + 12c + -18c = 162 + 18c + -18c Combine like terms: 12c + -18c = -6c 120 + -6c = 162 + 18c + -18c Combine like terms: 18c + -18c = 0 120 + -6c = 162 + 0 120 + -6c = 162 Add '-120' to each side of the equation. 120 + -120 + -6c = 162 + -120 Combine like terms: 120 + -120 = 0 0 + -6c = 162 + -120 -6c = 162 + -120 Combine like terms: 162 + -120 = 42 -6c = 42 Divide each side by '-6'. c = -7 Simplifying c = -7
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