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Simplifying 175m + -100m + 47500 = 50750 + -175m Reorder the terms: 47500 + 175m + -100m = 50750 + -175m Combine like terms: 175m + -100m = 75m 47500 + 75m = 50750 + -175m Solving 47500 + 75m = 50750 + -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 = 50750 + -175m + 175m Combine like terms: 75m + 175m = 250m 47500 + 250m = 50750 + -175m + 175m Combine like terms: -175m + 175m = 0 47500 + 250m = 50750 + 0 47500 + 250m = 50750 Add '-47500' to each side of the equation. 47500 + -47500 + 250m = 50750 + -47500 Combine like terms: 47500 + -47500 = 0 0 + 250m = 50750 + -47500 250m = 50750 + -47500 Combine like terms: 50750 + -47500 = 3250 250m = 3250 Divide each side by '250'. m = 13 Simplifying m = 13
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