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Simplifying 40 + -1(3c + 4) = 4c + 20c Reorder the terms: 40 + -1(4 + 3c) = 4c + 20c 40 + (4 * -1 + 3c * -1) = 4c + 20c 40 + (-4 + -3c) = 4c + 20c Combine like terms: 40 + -4 = 36 36 + -3c = 4c + 20c Combine like terms: 4c + 20c = 24c 36 + -3c = 24c Solving 36 + -3c = 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. 36 + -3c + -24c = 24c + -24c Combine like terms: -3c + -24c = -27c 36 + -27c = 24c + -24c Combine like terms: 24c + -24c = 0 36 + -27c = 0 Add '-36' to each side of the equation. 36 + -36 + -27c = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -27c = 0 + -36 -27c = 0 + -36 Combine like terms: 0 + -36 = -36 -27c = -36 Divide each side by '-27'. c = 1.333333333 Simplifying c = 1.333333333
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