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Simplifying 150m + -100m + 38000 = 40400 + -150m Reorder the terms: 38000 + 150m + -100m = 40400 + -150m Combine like terms: 150m + -100m = 50m 38000 + 50m = 40400 + -150m Solving 38000 + 50m = 40400 + -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. 38000 + 50m + 150m = 40400 + -150m + 150m Combine like terms: 50m + 150m = 200m 38000 + 200m = 40400 + -150m + 150m Combine like terms: -150m + 150m = 0 38000 + 200m = 40400 + 0 38000 + 200m = 40400 Add '-38000' to each side of the equation. 38000 + -38000 + 200m = 40400 + -38000 Combine like terms: 38000 + -38000 = 0 0 + 200m = 40400 + -38000 200m = 40400 + -38000 Combine like terms: 40400 + -38000 = 2400 200m = 2400 Divide each side by '200'. m = 12 Simplifying m = 12
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