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Simplifying 400 + 50m = 1000 + -25m Solving 400 + 50m = 1000 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. 400 + 50m + 25m = 1000 + -25m + 25m Combine like terms: 50m + 25m = 75m 400 + 75m = 1000 + -25m + 25m Combine like terms: -25m + 25m = 0 400 + 75m = 1000 + 0 400 + 75m = 1000 Add '-400' to each side of the equation. 400 + -400 + 75m = 1000 + -400 Combine like terms: 400 + -400 = 0 0 + 75m = 1000 + -400 75m = 1000 + -400 Combine like terms: 1000 + -400 = 600 75m = 600 Divide each side by '75'. m = 8 Simplifying m = 8
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