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Simplifying 175m + -100m + 48500 = 51250 + -175m Reorder the terms: 48500 + 175m + -100m = 51250 + -175m Combine like terms: 175m + -100m = 75m 48500 + 75m = 51250 + -175m Solving 48500 + 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. 48500 + 75m + 175m = 51250 + -175m + 175m Combine like terms: 75m + 175m = 250m 48500 + 250m = 51250 + -175m + 175m Combine like terms: -175m + 175m = 0 48500 + 250m = 51250 + 0 48500 + 250m = 51250 Add '-48500' to each side of the equation. 48500 + -48500 + 250m = 51250 + -48500 Combine like terms: 48500 + -48500 = 0 0 + 250m = 51250 + -48500 250m = 51250 + -48500 Combine like terms: 51250 + -48500 = 2750 250m = 2750 Divide each side by '250'. m = 11 Simplifying m = 11
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