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Simplifying -5(c + -2) = -8c + -2 Reorder the terms: -5(-2 + c) = -8c + -2 (-2 * -5 + c * -5) = -8c + -2 (10 + -5c) = -8c + -2 Reorder the terms: 10 + -5c = -2 + -8c Solving 10 + -5c = -2 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 10 + -5c + 8c = -2 + -8c + 8c Combine like terms: -5c + 8c = 3c 10 + 3c = -2 + -8c + 8c Combine like terms: -8c + 8c = 0 10 + 3c = -2 + 0 10 + 3c = -2 Add '-10' to each side of the equation. 10 + -10 + 3c = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3c = -2 + -10 3c = -2 + -10 Combine like terms: -2 + -10 = -12 3c = -12 Divide each side by '3'. c = -4 Simplifying c = -4
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