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Simplifying -5(20c + -15) = 5(3 + -16c) Reorder the terms: -5(-15 + 20c) = 5(3 + -16c) (-15 * -5 + 20c * -5) = 5(3 + -16c) (75 + -100c) = 5(3 + -16c) 75 + -100c = (3 * 5 + -16c * 5) 75 + -100c = (15 + -80c) Solving 75 + -100c = 15 + -80c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '80c' to each side of the equation. 75 + -100c + 80c = 15 + -80c + 80c Combine like terms: -100c + 80c = -20c 75 + -20c = 15 + -80c + 80c Combine like terms: -80c + 80c = 0 75 + -20c = 15 + 0 75 + -20c = 15 Add '-75' to each side of the equation. 75 + -75 + -20c = 15 + -75 Combine like terms: 75 + -75 = 0 0 + -20c = 15 + -75 -20c = 15 + -75 Combine like terms: 15 + -75 = -60 -20c = -60 Divide each side by '-20'. c = 3 Simplifying c = 3
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