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Simplifying 200m + -125m + 47500 = 51250 + 175m Reorder the terms: 47500 + 200m + -125m = 51250 + 175m Combine like terms: 200m + -125m = 75m 47500 + 75m = 51250 + 175m Solving 47500 + 75m = 51250 + 175m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-175m' to each side of the equation. 47500 + 75m + -175m = 51250 + 175m + -175m Combine like terms: 75m + -175m = -100m 47500 + -100m = 51250 + 175m + -175m Combine like terms: 175m + -175m = 0 47500 + -100m = 51250 + 0 47500 + -100m = 51250 Add '-47500' to each side of the equation. 47500 + -47500 + -100m = 51250 + -47500 Combine like terms: 47500 + -47500 = 0 0 + -100m = 51250 + -47500 -100m = 51250 + -47500 Combine like terms: 51250 + -47500 = 3750 -100m = 3750 Divide each side by '-100'. m = -37.5 Simplifying m = -37.5
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