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Simplifying 60(d + 1) = 40(d + 3) Reorder the terms: 60(1 + d) = 40(d + 3) (1 * 60 + d * 60) = 40(d + 3) (60 + 60d) = 40(d + 3) Reorder the terms: 60 + 60d = 40(3 + d) 60 + 60d = (3 * 40 + d * 40) 60 + 60d = (120 + 40d) Solving 60 + 60d = 120 + 40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40d' to each side of the equation. 60 + 60d + -40d = 120 + 40d + -40d Combine like terms: 60d + -40d = 20d 60 + 20d = 120 + 40d + -40d Combine like terms: 40d + -40d = 0 60 + 20d = 120 + 0 60 + 20d = 120 Add '-60' to each side of the equation. 60 + -60 + 20d = 120 + -60 Combine like terms: 60 + -60 = 0 0 + 20d = 120 + -60 20d = 120 + -60 Combine like terms: 120 + -60 = 60 20d = 60 Divide each side by '20'. d = 3 Simplifying d = 3
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