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Simplifying -5(-1c + -8) = 15c + 20 + -9c Reorder the terms: -5(-8 + -1c) = 15c + 20 + -9c (-8 * -5 + -1c * -5) = 15c + 20 + -9c (40 + 5c) = 15c + 20 + -9c Reorder the terms: 40 + 5c = 20 + 15c + -9c Combine like terms: 15c + -9c = 6c 40 + 5c = 20 + 6c Solving 40 + 5c = 20 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 40 + 5c + -6c = 20 + 6c + -6c Combine like terms: 5c + -6c = -1c 40 + -1c = 20 + 6c + -6c Combine like terms: 6c + -6c = 0 40 + -1c = 20 + 0 40 + -1c = 20 Add '-40' to each side of the equation. 40 + -40 + -1c = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -1c = 20 + -40 -1c = 20 + -40 Combine like terms: 20 + -40 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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