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Simplifying 150m + -100m + 38200 = 41000 + -150m Reorder the terms: 38200 + 150m + -100m = 41000 + -150m Combine like terms: 150m + -100m = 50m 38200 + 50m = 41000 + -150m Solving 38200 + 50m = 41000 + -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. 38200 + 50m + 150m = 41000 + -150m + 150m Combine like terms: 50m + 150m = 200m 38200 + 200m = 41000 + -150m + 150m Combine like terms: -150m + 150m = 0 38200 + 200m = 41000 + 0 38200 + 200m = 41000 Add '-38200' to each side of the equation. 38200 + -38200 + 200m = 41000 + -38200 Combine like terms: 38200 + -38200 = 0 0 + 200m = 41000 + -38200 200m = 41000 + -38200 Combine like terms: 41000 + -38200 = 2800 200m = 2800 Divide each side by '200'. m = 14 Simplifying m = 14
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