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Simplifying 150m + -125m + 42975 = 45675 + -200m Reorder the terms: 42975 + 150m + -125m = 45675 + -200m Combine like terms: 150m + -125m = 25m 42975 + 25m = 45675 + -200m Solving 42975 + 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. 42975 + 25m + 200m = 45675 + -200m + 200m Combine like terms: 25m + 200m = 225m 42975 + 225m = 45675 + -200m + 200m Combine like terms: -200m + 200m = 0 42975 + 225m = 45675 + 0 42975 + 225m = 45675 Add '-42975' to each side of the equation. 42975 + -42975 + 225m = 45675 + -42975 Combine like terms: 42975 + -42975 = 0 0 + 225m = 45675 + -42975 225m = 45675 + -42975 Combine like terms: 45675 + -42975 = 2700 225m = 2700 Divide each side by '225'. m = 12 Simplifying m = 12
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