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Simplifying 150m + -100m + 46125 = 43200 + -175m Reorder the terms: 46125 + 150m + -100m = 43200 + -175m Combine like terms: 150m + -100m = 50m 46125 + 50m = 43200 + -175m Solving 46125 + 50m = 43200 + -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. 46125 + 50m + 175m = 43200 + -175m + 175m Combine like terms: 50m + 175m = 225m 46125 + 225m = 43200 + -175m + 175m Combine like terms: -175m + 175m = 0 46125 + 225m = 43200 + 0 46125 + 225m = 43200 Add '-46125' to each side of the equation. 46125 + -46125 + 225m = 43200 + -46125 Combine like terms: 46125 + -46125 = 0 0 + 225m = 43200 + -46125 225m = 43200 + -46125 Combine like terms: 43200 + -46125 = -2925 225m = -2925 Divide each side by '225'. m = -13 Simplifying m = -13
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