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Simplifying 125m + -100m + 38800 = 40200 + -175m Reorder the terms: 38800 + 125m + -100m = 40200 + -175m Combine like terms: 125m + -100m = 25m 38800 + 25m = 40200 + -175m Solving 38800 + 25m = 40200 + -175m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '175m' to each side of the equation. 38800 + 25m + 175m = 40200 + -175m + 175m Combine like terms: 25m + 175m = 200m 38800 + 200m = 40200 + -175m + 175m Combine like terms: -175m + 175m = 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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