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Simplifying 125m + -100m + 46125 = 42975 + -200m Reorder the terms: 46125 + 125m + -100m = 42975 + -200m Combine like terms: 125m + -100m = 25m 46125 + 25m = 42975 + -200m Solving 46125 + 25m = 42975 + -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. 46125 + 25m + 200m = 42975 + -200m + 200m Combine like terms: 25m + 200m = 225m 46125 + 225m = 42975 + -200m + 200m Combine like terms: -200m + 200m = 0 46125 + 225m = 42975 + 0 46125 + 225m = 42975 Add '-46125' to each side of the equation. 46125 + -46125 + 225m = 42975 + -46125 Combine like terms: 46125 + -46125 = 0 0 + 225m = 42975 + -46125 225m = 42975 + -46125 Combine like terms: 42975 + -46125 = -3150 225m = -3150 Divide each side by '225'. m = -14 Simplifying m = -14
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