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Simplifying 150m + -100m + 43650 = 45675 + -175m Reorder the terms: 43650 + 150m + -100m = 45675 + -175m Combine like terms: 150m + -100m = 50m 43650 + 50m = 45675 + -175m Solving 43650 + 50m = 45675 + -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. 43650 + 50m + 175m = 45675 + -175m + 175m Combine like terms: 50m + 175m = 225m 43650 + 225m = 45675 + -175m + 175m Combine like terms: -175m + 175m = 0 43650 + 225m = 45675 + 0 43650 + 225m = 45675 Add '-43650' to each side of the equation. 43650 + -43650 + 225m = 45675 + -43650 Combine like terms: 43650 + -43650 = 0 0 + 225m = 45675 + -43650 225m = 45675 + -43650 Combine like terms: 45675 + -43650 = 2025 225m = 2025 Divide each side by '225'. m = 9 Simplifying m = 9
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