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Simplifying (50d + 0.5m) = (70d + -0.5m) Remove parenthesis around (50d + 0.5m) 50d + 0.5m = (70d + -0.5m) Remove parenthesis around (70d + -0.5m) 50d + 0.5m = 70d + -0.5m Solving 50d + 0.5m = 70d + -0.5m Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-70d' to each side of the equation. 50d + -70d + 0.5m = 70d + -70d + -0.5m Combine like terms: 50d + -70d = -20d -20d + 0.5m = 70d + -70d + -0.5m Combine like terms: 70d + -70d = 0 -20d + 0.5m = 0 + -0.5m -20d + 0.5m = -0.5m Add '-0.5m' to each side of the equation. -20d + 0.5m + -0.5m = -0.5m + -0.5m Combine like terms: 0.5m + -0.5m = 0.0 -20d + 0.0 = -0.5m + -0.5m -20d = -0.5m + -0.5m Combine like terms: -0.5m + -0.5m = -1m -20d = -1m Divide each side by '-20'. d = 0.05m Simplifying d = 0.05m
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