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Simplifying 5(-17c + 53) = -7(5c + -45) Reorder the terms: 5(53 + -17c) = -7(5c + -45) (53 * 5 + -17c * 5) = -7(5c + -45) (265 + -85c) = -7(5c + -45) Reorder the terms: 265 + -85c = -7(-45 + 5c) 265 + -85c = (-45 * -7 + 5c * -7) 265 + -85c = (315 + -35c) Solving 265 + -85c = 315 + -35c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '35c' to each side of the equation. 265 + -85c + 35c = 315 + -35c + 35c Combine like terms: -85c + 35c = -50c 265 + -50c = 315 + -35c + 35c Combine like terms: -35c + 35c = 0 265 + -50c = 315 + 0 265 + -50c = 315 Add '-265' to each side of the equation. 265 + -265 + -50c = 315 + -265 Combine like terms: 265 + -265 = 0 0 + -50c = 315 + -265 -50c = 315 + -265 Combine like terms: 315 + -265 = 50 -50c = 50 Divide each side by '-50'. c = -1 Simplifying c = -1
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