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Simplifying -82(2c + -5) = -5(3c + 7) Reorder the terms: -82(-5 + 2c) = -5(3c + 7) (-5 * -82 + 2c * -82) = -5(3c + 7) (410 + -164c) = -5(3c + 7) Reorder the terms: 410 + -164c = -5(7 + 3c) 410 + -164c = (7 * -5 + 3c * -5) 410 + -164c = (-35 + -15c) Solving 410 + -164c = -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. 410 + -164c + 15c = -35 + -15c + 15c Combine like terms: -164c + 15c = -149c 410 + -149c = -35 + -15c + 15c Combine like terms: -15c + 15c = 0 410 + -149c = -35 + 0 410 + -149c = -35 Add '-410' to each side of the equation. 410 + -410 + -149c = -35 + -410 Combine like terms: 410 + -410 = 0 0 + -149c = -35 + -410 -149c = -35 + -410 Combine like terms: -35 + -410 = -445 -149c = -445 Divide each side by '-149'. c = 2.986577181 Simplifying c = 2.986577181
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