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