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Simplifying 175m + -125m + 42750 = 46125 + 175m Reorder the terms: 42750 + 175m + -125m = 46125 + 175m Combine like terms: 175m + -125m = 50m 42750 + 50m = 46125 + 175m Solving 42750 + 50m = 46125 + 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. 42750 + 50m + -175m = 46125 + 175m + -175m Combine like terms: 50m + -175m = -125m 42750 + -125m = 46125 + 175m + -175m Combine like terms: 175m + -175m = 0 42750 + -125m = 46125 + 0 42750 + -125m = 46125 Add '-42750' to each side of the equation. 42750 + -42750 + -125m = 46125 + -42750 Combine like terms: 42750 + -42750 = 0 0 + -125m = 46125 + -42750 -125m = 46125 + -42750 Combine like terms: 46125 + -42750 = 3375 -125m = 3375 Divide each side by '-125'. m = -27 Simplifying m = -27
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