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Simplifying 125m + -100m + 38400 = 40000 + -175m Reorder the terms: 38400 + 125m + -100m = 40000 + -175m Combine like terms: 125m + -100m = 25m 38400 + 25m = 40000 + -175m Solving 38400 + 25m = 40000 + -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. 38400 + 25m + 175m = 40000 + -175m + 175m Combine like terms: 25m + 175m = 200m 38400 + 200m = 40000 + -175m + 175m Combine like terms: -175m + 175m = 0 38400 + 200m = 40000 + 0 38400 + 200m = 40000 Add '-38400' to each side of the equation. 38400 + -38400 + 200m = 40000 + -38400 Combine like terms: 38400 + -38400 = 0 0 + 200m = 40000 + -38400 200m = 40000 + -38400 Combine like terms: 40000 + -38400 = 1600 200m = 1600 Divide each side by '200'. m = 8 Simplifying m = 8
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