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Simplifying 150 + -125m + 42975 = 42675 + -200m Reorder the terms: 150 + 42975 + -125m = 42675 + -200m Combine like terms: 150 + 42975 = 43125 43125 + -125m = 42675 + -200m Solving 43125 + -125m = 42675 + -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. 43125 + -125m + 200m = 42675 + -200m + 200m Combine like terms: -125m + 200m = 75m 43125 + 75m = 42675 + -200m + 200m Combine like terms: -200m + 200m = 0 43125 + 75m = 42675 + 0 43125 + 75m = 42675 Add '-43125' to each side of the equation. 43125 + -43125 + 75m = 42675 + -43125 Combine like terms: 43125 + -43125 = 0 0 + 75m = 42675 + -43125 75m = 42675 + -43125 Combine like terms: 42675 + -43125 = -450 75m = -450 Divide each side by '75'. m = -6 Simplifying m = -6
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