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Simplifying 175m + -100m + 45900 = 42900 + -150m Reorder the terms: 45900 + 175m + -100m = 42900 + -150m Combine like terms: 175m + -100m = 75m 45900 + 75m = 42900 + -150m Solving 45900 + 75m = 42900 + -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. 45900 + 75m + 150m = 42900 + -150m + 150m Combine like terms: 75m + 150m = 225m 45900 + 225m = 42900 + -150m + 150m Combine like terms: -150m + 150m = 0 45900 + 225m = 42900 + 0 45900 + 225m = 42900 Add '-45900' to each side of the equation. 45900 + -45900 + 225m = 42900 + -45900 Combine like terms: 45900 + -45900 = 0 0 + 225m = 42900 + -45900 225m = 42900 + -45900 Combine like terms: 42900 + -45900 = -3000 225m = -3000 Divide each side by '225'. m = -13.33333333 Simplifying m = -13.33333333
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