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Simplifying 0.25d + 40 = 0.45d + 25 Reorder the terms: 40 + 0.25d = 0.45d + 25 Reorder the terms: 40 + 0.25d = 25 + 0.45d Solving 40 + 0.25d = 25 + 0.45d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.45d' to each side of the equation. 40 + 0.25d + -0.45d = 25 + 0.45d + -0.45d Combine like terms: 0.25d + -0.45d = -0.2d 40 + -0.2d = 25 + 0.45d + -0.45d Combine like terms: 0.45d + -0.45d = 0.00 40 + -0.2d = 25 + 0.00 40 + -0.2d = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2d = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2d = 25 + -40 -0.2d = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2d = -15 Divide each side by '-0.2'. d = 75 Simplifying d = 75
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