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Simplifying 200m + -125m + 42975 = 46125 + 150m Reorder the terms: 42975 + 200m + -125m = 46125 + 150m Combine like terms: 200m + -125m = 75m 42975 + 75m = 46125 + 150m Solving 42975 + 75m = 46125 + 150m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-150m' to each side of the equation. 42975 + 75m + -150m = 46125 + 150m + -150m Combine like terms: 75m + -150m = -75m 42975 + -75m = 46125 + 150m + -150m Combine like terms: 150m + -150m = 0 42975 + -75m = 46125 + 0 42975 + -75m = 46125 Add '-42975' to each side of the equation. 42975 + -42975 + -75m = 46125 + -42975 Combine like terms: 42975 + -42975 = 0 0 + -75m = 46125 + -42975 -75m = 46125 + -42975 Combine like terms: 46125 + -42975 = 3150 -75m = 3150 Divide each side by '-75'. m = -42 Simplifying m = -42
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