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Simplifying 175m + -100m + 43875 = 45675 + -150m Reorder the terms: 43875 + 175m + -100m = 45675 + -150m Combine like terms: 175m + -100m = 75m 43875 + 75m = 45675 + -150m Solving 43875 + 75m = 45675 + -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. 43875 + 75m + 150m = 45675 + -150m + 150m Combine like terms: 75m + 150m = 225m 43875 + 225m = 45675 + -150m + 150m Combine like terms: -150m + 150m = 0 43875 + 225m = 45675 + 0 43875 + 225m = 45675 Add '-43875' to each side of the equation. 43875 + -43875 + 225m = 45675 + -43875 Combine like terms: 43875 + -43875 = 0 0 + 225m = 45675 + -43875 225m = 45675 + -43875 Combine like terms: 45675 + -43875 = 1800 225m = 1800 Divide each side by '225'. m = 8 Simplifying m = 8
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