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Simplifying 125m + -75m + 42750 = 46125 + -175m Reorder the terms: 42750 + 125m + -75m = 46125 + -175m Combine like terms: 125m + -75m = 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 = 225m 42750 + 225m = 46125 + -175m + 175m Combine like terms: -175m + 175m = 0 42750 + 225m = 46125 + 0 42750 + 225m = 46125 Add '-42750' to each side of the equation. 42750 + -42750 + 225m = 46125 + -42750 Combine like terms: 42750 + -42750 = 0 0 + 225m = 46125 + -42750 225m = 46125 + -42750 Combine like terms: 46125 + -42750 = 3375 225m = 3375 Divide each side by '225'. m = 15 Simplifying m = 15
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