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Simplifying 150m + -100m + 47750 = 51000 + 200m Reorder the terms: 47750 + 150m + -100m = 51000 + 200m Combine like terms: 150m + -100m = 50m 47750 + 50m = 51000 + 200m Solving 47750 + 50m = 51000 + 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. 47750 + 50m + -200m = 51000 + 200m + -200m Combine like terms: 50m + -200m = -150m 47750 + -150m = 51000 + 200m + -200m Combine like terms: 200m + -200m = 0 47750 + -150m = 51000 + 0 47750 + -150m = 51000 Add '-47750' to each side of the equation. 47750 + -47750 + -150m = 51000 + -47750 Combine like terms: 47750 + -47750 = 0 0 + -150m = 51000 + -47750 -150m = 51000 + -47750 Combine like terms: 51000 + -47750 = 3250 -150m = 3250 Divide each side by '-150'. m = -21.66666667 Simplifying m = -21.66666667
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