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Simplifying (500 + -1d) * 0.50 + d * 0.40 = 240 Reorder the terms for easier multiplication: 0.50(500 + -1d) + d * 0.40 = 240 (500 * 0.50 + -1d * 0.50) + d * 0.40 = 240 (250 + -0.5d) + d * 0.40 = 240 Reorder the terms for easier multiplication: 250 + -0.5d + 0.40d = 240 Combine like terms: -0.5d + 0.40d = -0.1d 250 + -0.1d = 240 Solving 250 + -0.1d = 240 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + -0.1d = 240 + -250 Combine like terms: 250 + -250 = 0 0 + -0.1d = 240 + -250 -0.1d = 240 + -250 Combine like terms: 240 + -250 = -10 -0.1d = -10 Divide each side by '-0.1'. d = 100 Simplifying d = 100
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