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Simplifying 35d + 0.10m = 25d + 0.25m + 5 Reorder the terms: 35d + 0.10m = 5 + 25d + 0.25m Solving 35d + 0.10m = 5 + 25d + 0.25m Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25d' to each side of the equation. 35d + -25d + 0.10m = 5 + 25d + -25d + 0.25m Combine like terms: 35d + -25d = 10d 10d + 0.10m = 5 + 25d + -25d + 0.25m Combine like terms: 25d + -25d = 0 10d + 0.10m = 5 + 0 + 0.25m 10d + 0.10m = 5 + 0.25m Add '-0.10m' to each side of the equation. 10d + 0.10m + -0.10m = 5 + 0.25m + -0.10m Combine like terms: 0.10m + -0.10m = 0.00 10d + 0.00 = 5 + 0.25m + -0.10m 10d = 5 + 0.25m + -0.10m Combine like terms: 0.25m + -0.10m = 0.15m 10d = 5 + 0.15m Divide each side by '10'. d = 0.5 + 0.015m Simplifying d = 0.5 + 0.015m
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