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Simplifying 150m + -100m + 38400 = 40200 + -150m Reorder the terms: 38400 + 150m + -100m = 40200 + -150m Combine like terms: 150m + -100m = 50m 38400 + 50m = 40200 + -150m Solving 38400 + 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. 38400 + 50m + 150m = 40200 + -150m + 150m Combine like terms: 50m + 150m = 200m 38400 + 200m = 40200 + -150m + 150m Combine like terms: -150m + 150m = 0 38400 + 200m = 40200 + 0 38400 + 200m = 40200 Add '-38400' to each side of the equation. 38400 + -38400 + 200m = 40200 + -38400 Combine like terms: 38400 + -38400 = 0 0 + 200m = 40200 + -38400 200m = 40200 + -38400 Combine like terms: 40200 + -38400 = 1800 200m = 1800 Divide each side by '200'. m = 9 Simplifying m = 9
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