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Simplifying 175m + -125m + 38800 = 40200 + -150m Reorder the terms: 38800 + 175m + -125m = 40200 + -150m Combine like terms: 175m + -125m = 50m 38800 + 50m = 40200 + -150m Solving 38800 + 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. 38800 + 50m + 150m = 40200 + -150m + 150m Combine like terms: 50m + 150m = 200m 38800 + 200m = 40200 + -150m + 150m Combine like terms: -150m + 150m = 0 38800 + 200m = 40200 + 0 38800 + 200m = 40200 Add '-38800' to each side of the equation. 38800 + -38800 + 200m = 40200 + -38800 Combine like terms: 38800 + -38800 = 0 0 + 200m = 40200 + -38800 200m = 40200 + -38800 Combine like terms: 40200 + -38800 = 1400 200m = 1400 Divide each side by '200'. m = 7 Simplifying m = 7
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