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Simplifying -5(-6 + -6d) = 6(20d + 20) (-6 * -5 + -6d * -5) = 6(20d + 20) (30 + 30d) = 6(20d + 20) Reorder the terms: 30 + 30d = 6(20 + 20d) 30 + 30d = (20 * 6 + 20d * 6) 30 + 30d = (120 + 120d) Solving 30 + 30d = 120 + 120d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-120d' to each side of the equation. 30 + 30d + -120d = 120 + 120d + -120d Combine like terms: 30d + -120d = -90d 30 + -90d = 120 + 120d + -120d Combine like terms: 120d + -120d = 0 30 + -90d = 120 + 0 30 + -90d = 120 Add '-30' to each side of the equation. 30 + -30 + -90d = 120 + -30 Combine like terms: 30 + -30 = 0 0 + -90d = 120 + -30 -90d = 120 + -30 Combine like terms: 120 + -30 = 90 -90d = 90 Divide each side by '-90'. d = -1 Simplifying d = -1
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