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Simplifying 150m + -100 + 46750 = 51000 + 200m Reorder the terms: -100 + 46750 + 150m = 51000 + 200m Combine like terms: -100 + 46750 = 46650 46650 + 150m = 51000 + 200m Solving 46650 + 150m = 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. 46650 + 150m + -200m = 51000 + 200m + -200m Combine like terms: 150m + -200m = -50m 46650 + -50m = 51000 + 200m + -200m Combine like terms: 200m + -200m = 0 46650 + -50m = 51000 + 0 46650 + -50m = 51000 Add '-46650' to each side of the equation. 46650 + -46650 + -50m = 51000 + -46650 Combine like terms: 46650 + -46650 = 0 0 + -50m = 51000 + -46650 -50m = 51000 + -46650 Combine like terms: 51000 + -46650 = 4350 -50m = 4350 Divide each side by '-50'. m = -87 Simplifying m = -87
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