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Simplifying 0.15d + 0.07(100 + -1d) = 130 0.15d + (100 * 0.07 + -1d * 0.07) = 130 0.15d + (7 + -0.07d) = 130 Reorder the terms: 7 + 0.15d + -0.07d = 130 Combine like terms: 0.15d + -0.07d = 0.08d 7 + 0.08d = 130 Solving 7 + 0.08d = 130 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.08d = 130 + -7 Combine like terms: 7 + -7 = 0 0 + 0.08d = 130 + -7 0.08d = 130 + -7 Combine like terms: 130 + -7 = 123 0.08d = 123 Divide each side by '0.08'. d = 1537.5 Simplifying d = 1537.5
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