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Simplifying 200m + -100m + 47750 = 51000 + -150m Reorder the terms: 47750 + 200m + -100m = 51000 + -150m Combine like terms: 200m + -100m = 100m 47750 + 100m = 51000 + -150m Solving 47750 + 100m = 51000 + -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. 47750 + 100m + 150m = 51000 + -150m + 150m Combine like terms: 100m + 150m = 250m 47750 + 250m = 51000 + -150m + 150m Combine like terms: -150m + 150m = 0 47750 + 250m = 51000 + 0 47750 + 250m = 51000 Add '-47750' to each side of the equation. 47750 + -47750 + 250m = 51000 + -47750 Combine like terms: 47750 + -47750 = 0 0 + 250m = 51000 + -47750 250m = 51000 + -47750 Combine like terms: 51000 + -47750 = 3250 250m = 3250 Divide each side by '250'. m = 13 Simplifying m = 13
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