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Simplifying -5(c + -2) = 30 + 5c Reorder the terms: -5(-2 + c) = 30 + 5c (-2 * -5 + c * -5) = 30 + 5c (10 + -5c) = 30 + 5c Solving 10 + -5c = 30 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 10 + -5c + -5c = 30 + 5c + -5c Combine like terms: -5c + -5c = -10c 10 + -10c = 30 + 5c + -5c Combine like terms: 5c + -5c = 0 10 + -10c = 30 + 0 10 + -10c = 30 Add '-10' to each side of the equation. 10 + -10 + -10c = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -10c = 30 + -10 -10c = 30 + -10 Combine like terms: 30 + -10 = 20 -10c = 20 Divide each side by '-10'. c = -2 Simplifying c = -2
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