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Simplifying -8(2c + -5) = -5(3c + 7) Reorder the terms: -8(-5 + 2c) = -5(3c + 7) (-5 * -8 + 2c * -8) = -5(3c + 7) (40 + -16c) = -5(3c + 7) Reorder the terms: 40 + -16c = -5(7 + 3c) 40 + -16c = (7 * -5 + 3c * -5) 40 + -16c = (-35 + -15c) Solving 40 + -16c = -35 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. 40 + -16c + 15c = -35 + -15c + 15c Combine like terms: -16c + 15c = -1c 40 + -1c = -35 + -15c + 15c Combine like terms: -15c + 15c = 0 40 + -1c = -35 + 0 40 + -1c = -35 Add '-40' to each side of the equation. 40 + -40 + -1c = -35 + -40 Combine like terms: 40 + -40 = 0 0 + -1c = -35 + -40 -1c = -35 + -40 Combine like terms: -35 + -40 = -75 -1c = -75 Divide each side by '-1'. c = 75 Simplifying c = 75
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