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Simplifying 20c + 5 = 9c + -2 + 40 Reorder the terms: 5 + 20c = 9c + -2 + 40 Reorder the terms: 5 + 20c = -2 + 40 + 9c Combine like terms: -2 + 40 = 38 5 + 20c = 38 + 9c Solving 5 + 20c = 38 + 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. 5 + 20c + -9c = 38 + 9c + -9c Combine like terms: 20c + -9c = 11c 5 + 11c = 38 + 9c + -9c Combine like terms: 9c + -9c = 0 5 + 11c = 38 + 0 5 + 11c = 38 Add '-5' to each side of the equation. 5 + -5 + 11c = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 11c = 38 + -5 11c = 38 + -5 Combine like terms: 38 + -5 = 33 11c = 33 Divide each side by '11'. c = 3 Simplifying c = 3
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