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Simplifying 125m + -100m + 38200 = 40600 + -175m Reorder the terms: 38200 + 125m + -100m = 40600 + -175m Combine like terms: 125m + -100m = 25m 38200 + 25m = 40600 + -175m Solving 38200 + 25m = 40600 + -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. 38200 + 25m + 175m = 40600 + -175m + 175m Combine like terms: 25m + 175m = 200m 38200 + 200m = 40600 + -175m + 175m Combine like terms: -175m + 175m = 0 38200 + 200m = 40600 + 0 38200 + 200m = 40600 Add '-38200' to each side of the equation. 38200 + -38200 + 200m = 40600 + -38200 Combine like terms: 38200 + -38200 = 0 0 + 200m = 40600 + -38200 200m = 40600 + -38200 Combine like terms: 40600 + -38200 = 2400 200m = 2400 Divide each side by '200'. m = 12 Simplifying m = 12
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