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Simplifying (10 + 18) * 10 = (12 + c) * 12 Combine like terms: 10 + 18 = 28 (28) * 10 = (12 + c) * 12 Multiply 28 * 10 280 = (12 + c) * 12 Reorder the terms for easier multiplication: 280 = 12(12 + c) 280 = (12 * 12 + c * 12) 280 = (144 + 12c) Solving 280 = 144 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 280 + -12c = 144 + 12c + -12c Combine like terms: 12c + -12c = 0 280 + -12c = 144 + 0 280 + -12c = 144 Add '-280' to each side of the equation. 280 + -280 + -12c = 144 + -280 Combine like terms: 280 + -280 = 0 0 + -12c = 144 + -280 -12c = 144 + -280 Combine like terms: 144 + -280 = -136 -12c = -136 Divide each side by '-12'. c = 11.33333333 Simplifying c = 11.33333333
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