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Simplifying 125x + -100m + 43875 = 45000 + -200m Reorder the terms: 43875 + -100m + 125x = 45000 + -200m Solving 43875 + -100m + 125x = 45000 + -200m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '200m' to each side of the equation. 43875 + -100m + 200m + 125x = 45000 + -200m + 200m Combine like terms: -100m + 200m = 100m 43875 + 100m + 125x = 45000 + -200m + 200m Combine like terms: -200m + 200m = 0 43875 + 100m + 125x = 45000 + 0 43875 + 100m + 125x = 45000 Add '-43875' to each side of the equation. 43875 + 100m + -43875 + 125x = 45000 + -43875 Reorder the terms: 43875 + -43875 + 100m + 125x = 45000 + -43875 Combine like terms: 43875 + -43875 = 0 0 + 100m + 125x = 45000 + -43875 100m + 125x = 45000 + -43875 Combine like terms: 45000 + -43875 = 1125 100m + 125x = 1125 Add '-125x' to each side of the equation. 100m + 125x + -125x = 1125 + -125x Combine like terms: 125x + -125x = 0 100m + 0 = 1125 + -125x 100m = 1125 + -125x Divide each side by '100'. m = 11.25 + -1.25x Simplifying m = 11.25 + -1.25x
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