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Simplifying 15(c + 6 + 8d) = 0 Reorder the terms: 15(6 + c + 8d) = 0 (6 * 15 + c * 15 + 8d * 15) = 0 (90 + 15c + 120d) = 0 Solving 90 + 15c + 120d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 15c + -90 + 120d = 0 + -90 Reorder the terms: 90 + -90 + 15c + 120d = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 15c + 120d = 0 + -90 15c + 120d = 0 + -90 Combine like terms: 0 + -90 = -90 15c + 120d = -90 Add '-120d' to each side of the equation. 15c + 120d + -120d = -90 + -120d Combine like terms: 120d + -120d = 0 15c + 0 = -90 + -120d 15c = -90 + -120d Divide each side by '15'. c = -6 + -8d Simplifying c = -6 + -8d
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