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Simplifying 15(100 + 5d) + 20(50 + 7d) = 0 (100 * 15 + 5d * 15) + 20(50 + 7d) = 0 (1500 + 75d) + 20(50 + 7d) = 0 1500 + 75d + (50 * 20 + 7d * 20) = 0 1500 + 75d + (1000 + 140d) = 0 Reorder the terms: 1500 + 1000 + 75d + 140d = 0 Combine like terms: 1500 + 1000 = 2500 2500 + 75d + 140d = 0 Combine like terms: 75d + 140d = 215d 2500 + 215d = 0 Solving 2500 + 215d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2500' to each side of the equation. 2500 + -2500 + 215d = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 215d = 0 + -2500 215d = 0 + -2500 Combine like terms: 0 + -2500 = -2500 215d = -2500 Divide each side by '215'. d = -11.62790698 Simplifying d = -11.62790698
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