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Simplifying 0.25(3m + -4) + -0.2 = 0.25m + 0.3 Reorder the terms: 0.25(-4 + 3m) + -0.2 = 0.25m + 0.3 (-4 * 0.25 + 3m * 0.25) + -0.2 = 0.25m + 0.3 (-1 + 0.75m) + -0.2 = 0.25m + 0.3 Reorder the terms: -1 + -0.2 + 0.75m = 0.25m + 0.3 Combine like terms: -1 + -0.2 = -1.2 -1.2 + 0.75m = 0.25m + 0.3 Reorder the terms: -1.2 + 0.75m = 0.3 + 0.25m Solving -1.2 + 0.75m = 0.3 + 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. -1.2 + 0.75m + -0.25m = 0.3 + 0.25m + -0.25m Combine like terms: 0.75m + -0.25m = 0.5m -1.2 + 0.5m = 0.3 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 -1.2 + 0.5m = 0.3 + 0.00 -1.2 + 0.5m = 0.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.5m = 0.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.5m = 0.3 + 1.2 0.5m = 0.3 + 1.2 Combine like terms: 0.3 + 1.2 = 1.5 0.5m = 1.5 Divide each side by '0.5'. m = 3 Simplifying m = 3
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