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Simplifying 200 + 0.05d = 75 + 0.10d Solving 200 + 0.05d = 75 + 0.10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.10d' to each side of the equation. 200 + 0.05d + -0.10d = 75 + 0.10d + -0.10d Combine like terms: 0.05d + -0.10d = -0.05d 200 + -0.05d = 75 + 0.10d + -0.10d Combine like terms: 0.10d + -0.10d = 0.00 200 + -0.05d = 75 + 0.00 200 + -0.05d = 75 Add '-200' to each side of the equation. 200 + -200 + -0.05d = 75 + -200 Combine like terms: 200 + -200 = 0 0 + -0.05d = 75 + -200 -0.05d = 75 + -200 Combine like terms: 75 + -200 = -125 -0.05d = -125 Divide each side by '-0.05'. d = 2500 Simplifying d = 2500
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