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Simplifying 40 + -1(3c + -4) = 4c + 20 Reorder the terms: 40 + -1(-4 + 3c) = 4c + 20 40 + (-4 * -1 + 3c * -1) = 4c + 20 40 + (4 + -3c) = 4c + 20 Combine like terms: 40 + 4 = 44 44 + -3c = 4c + 20 Reorder the terms: 44 + -3c = 20 + 4c Solving 44 + -3c = 20 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 44 + -3c + -4c = 20 + 4c + -4c Combine like terms: -3c + -4c = -7c 44 + -7c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 44 + -7c = 20 + 0 44 + -7c = 20 Add '-44' to each side of the equation. 44 + -44 + -7c = 20 + -44 Combine like terms: 44 + -44 = 0 0 + -7c = 20 + -44 -7c = 20 + -44 Combine like terms: 20 + -44 = -24 -7c = -24 Divide each side by '-7'. c = 3.428571429 Simplifying c = 3.428571429
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