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Simplifying 125m + -100m + 42750 = 45675 + -200m Reorder the terms: 42750 + 125m + -100m = 45675 + -200m Combine like terms: 125m + -100m = 25m 42750 + 25m = 45675 + -200m Solving 42750 + 25m = 45675 + -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. 42750 + 25m + 200m = 45675 + -200m + 200m Combine like terms: 25m + 200m = 225m 42750 + 225m = 45675 + -200m + 200m Combine like terms: -200m + 200m = 0 42750 + 225m = 45675 + 0 42750 + 225m = 45675 Add '-42750' to each side of the equation. 42750 + -42750 + 225m = 45675 + -42750 Combine like terms: 42750 + -42750 = 0 0 + 225m = 45675 + -42750 225m = 45675 + -42750 Combine like terms: 45675 + -42750 = 2925 225m = 2925 Divide each side by '225'. m = 13 Simplifying m = 13
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