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Simplifying 175m + -100m + 46125 = 43650 + 150m Reorder the terms: 46125 + 175m + -100m = 43650 + 150m Combine like terms: 175m + -100m = 75m 46125 + 75m = 43650 + 150m Solving 46125 + 75m = 43650 + 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. 46125 + 75m + -150m = 43650 + 150m + -150m Combine like terms: 75m + -150m = -75m 46125 + -75m = 43650 + 150m + -150m Combine like terms: 150m + -150m = 0 46125 + -75m = 43650 + 0 46125 + -75m = 43650 Add '-46125' to each side of the equation. 46125 + -46125 + -75m = 43650 + -46125 Combine like terms: 46125 + -46125 = 0 0 + -75m = 43650 + -46125 -75m = 43650 + -46125 Combine like terms: 43650 + -46125 = -2475 -75m = -2475 Divide each side by '-75'. m = 33 Simplifying m = 33
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