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Simplifying -6(15 + -15c) = 5(-6 + 12c) (15 * -6 + -15c * -6) = 5(-6 + 12c) (-90 + 90c) = 5(-6 + 12c) -90 + 90c = (-6 * 5 + 12c * 5) -90 + 90c = (-30 + 60c) Solving -90 + 90c = -30 + 60c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60c' to each side of the equation. -90 + 90c + -60c = -30 + 60c + -60c Combine like terms: 90c + -60c = 30c -90 + 30c = -30 + 60c + -60c Combine like terms: 60c + -60c = 0 -90 + 30c = -30 + 0 -90 + 30c = -30 Add '90' to each side of the equation. -90 + 90 + 30c = -30 + 90 Combine like terms: -90 + 90 = 0 0 + 30c = -30 + 90 30c = -30 + 90 Combine like terms: -30 + 90 = 60 30c = 60 Divide each side by '30'. c = 2 Simplifying c = 2
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