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Simplifying 12(50 + -4c) + 5c = 213 (50 * 12 + -4c * 12) + 5c = 213 (600 + -48c) + 5c = 213 Combine like terms: -48c + 5c = -43c 600 + -43c = 213 Solving 600 + -43c = 213 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -43c = 213 + -600 Combine like terms: 600 + -600 = 0 0 + -43c = 213 + -600 -43c = 213 + -600 Combine like terms: 213 + -600 = -387 -43c = -387 Divide each side by '-43'. c = 9 Simplifying c = 9
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