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Simplifying 125m + -100m + 42975 = 46125 + -200m Reorder the terms: 42975 + 125m + -100m = 46125 + -200m Combine like terms: 125m + -100m = 25m 42975 + 25m = 46125 + -200m Solving 42975 + 25m = 46125 + -200m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '200m' to each side of the equation. 42975 + 25m + 200m = 46125 + -200m + 200m Combine like terms: 25m + 200m = 225m 42975 + 225m = 46125 + -200m + 200m Combine like terms: -200m + 200m = 0 42975 + 225m = 46125 + 0 42975 + 225m = 46125 Add '-42975' to each side of the equation. 42975 + -42975 + 225m = 46125 + -42975 Combine like terms: 42975 + -42975 = 0 0 + 225m = 46125 + -42975 225m = 46125 + -42975 Combine like terms: 46125 + -42975 = 3150 225m = 3150 Divide each side by '225'. m = 14 Simplifying m = 14
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