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Simplifying 0.5m + 2(0.75m + -1) = 0.25m + 6 Reorder the terms: 0.5m + 2(-1 + 0.75m) = 0.25m + 6 0.5m + (-1 * 2 + 0.75m * 2) = 0.25m + 6 0.5m + (-2 + 1.5m) = 0.25m + 6 Reorder the terms: -2 + 0.5m + 1.5m = 0.25m + 6 Combine like terms: 0.5m + 1.5m = 2m -2 + 2m = 0.25m + 6 Reorder the terms: -2 + 2m = 6 + 0.25m Solving -2 + 2m = 6 + 0.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25m' to each side of the equation. -2 + 2m + -0.25m = 6 + 0.25m + -0.25m Combine like terms: 2m + -0.25m = 1.75m -2 + 1.75m = 6 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 -2 + 1.75m = 6 + 0.00 -2 + 1.75m = 6 Add '2' to each side of the equation. -2 + 2 + 1.75m = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75m = 6 + 2 1.75m = 6 + 2 Combine like terms: 6 + 2 = 8 1.75m = 8 Divide each side by '1.75'. m = 4.571428571 Simplifying m = 4.571428571
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