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Simplifying 0.3(3m + -6) + -0.25(5m + 4) + 0.2(2m + -9) = -3 Reorder the terms: 0.3(-6 + 3m) + -0.25(5m + 4) + 0.2(2m + -9) = -3 (-6 * 0.3 + 3m * 0.3) + -0.25(5m + 4) + 0.2(2m + -9) = -3 (-1.8 + 0.9m) + -0.25(5m + 4) + 0.2(2m + -9) = -3 Reorder the terms: -1.8 + 0.9m + -0.25(4 + 5m) + 0.2(2m + -9) = -3 -1.8 + 0.9m + (4 * -0.25 + 5m * -0.25) + 0.2(2m + -9) = -3 -1.8 + 0.9m + (-1 + -1.25m) + 0.2(2m + -9) = -3 Reorder the terms: -1.8 + 0.9m + -1 + -1.25m + 0.2(-9 + 2m) = -3 -1.8 + 0.9m + -1 + -1.25m + (-9 * 0.2 + 2m * 0.2) = -3 -1.8 + 0.9m + -1 + -1.25m + (-1.8 + 0.4m) = -3 Reorder the terms: -1.8 + -1 + -1.8 + 0.9m + -1.25m + 0.4m = -3 Combine like terms: -1.8 + -1 = -2.8 -2.8 + -1.8 + 0.9m + -1.25m + 0.4m = -3 Combine like terms: -2.8 + -1.8 = -4.6 -4.6 + 0.9m + -1.25m + 0.4m = -3 Combine like terms: 0.9m + -1.25m = -0.35m -4.6 + -0.35m + 0.4m = -3 Combine like terms: -0.35m + 0.4m = 0.05m -4.6 + 0.05m = -3 Solving -4.6 + 0.05m = -3 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.05m = -3 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.05m = -3 + 4.6 0.05m = -3 + 4.6 Combine like terms: -3 + 4.6 = 1.6 0.05m = 1.6 Divide each side by '0.05'. m = 32 Simplifying m = 32
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