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Simplifying 150m + -100m + 3800 = 40600 + -150m Reorder the terms: 3800 + 150m + -100m = 40600 + -150m Combine like terms: 150m + -100m = 50m 3800 + 50m = 40600 + -150m Solving 3800 + 50m = 40600 + -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. 3800 + 50m + 150m = 40600 + -150m + 150m Combine like terms: 50m + 150m = 200m 3800 + 200m = 40600 + -150m + 150m Combine like terms: -150m + 150m = 0 3800 + 200m = 40600 + 0 3800 + 200m = 40600 Add '-3800' to each side of the equation. 3800 + -3800 + 200m = 40600 + -3800 Combine like terms: 3800 + -3800 = 0 0 + 200m = 40600 + -3800 200m = 40600 + -3800 Combine like terms: 40600 + -3800 = 36800 200m = 36800 Divide each side by '200'. m = 184 Simplifying m = 184
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