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Simplifying 150m + -100m + 38600 = 40200 + -150m Reorder the terms: 38600 + 150m + -100m = 40200 + -150m Combine like terms: 150m + -100m = 50m 38600 + 50m = 40200 + -150m Solving 38600 + 50m = 40200 + -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. 38600 + 50m + 150m = 40200 + -150m + 150m Combine like terms: 50m + 150m = 200m 38600 + 200m = 40200 + -150m + 150m Combine like terms: -150m + 150m = 0 38600 + 200m = 40200 + 0 38600 + 200m = 40200 Add '-38600' to each side of the equation. 38600 + -38600 + 200m = 40200 + -38600 Combine like terms: 38600 + -38600 = 0 0 + 200m = 40200 + -38600 200m = 40200 + -38600 Combine like terms: 40200 + -38600 = 1600 200m = 1600 Divide each side by '200'. m = 8 Simplifying m = 8
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