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Simplifying 0.5(4m + 8) = 0.33(3m + -3) Reorder the terms: 0.5(8 + 4m) = 0.33(3m + -3) (8 * 0.5 + 4m * 0.5) = 0.33(3m + -3) (4 + 2m) = 0.33(3m + -3) Reorder the terms: 4 + 2m = 0.33(-3 + 3m) 4 + 2m = (-3 * 0.33 + 3m * 0.33) 4 + 2m = (-0.99 + 0.99m) Solving 4 + 2m = -0.99 + 0.99m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.99m' to each side of the equation. 4 + 2m + -0.99m = -0.99 + 0.99m + -0.99m Combine like terms: 2m + -0.99m = 1.01m 4 + 1.01m = -0.99 + 0.99m + -0.99m Combine like terms: 0.99m + -0.99m = 0.00 4 + 1.01m = -0.99 + 0.00 4 + 1.01m = -0.99 Add '-4' to each side of the equation. 4 + -4 + 1.01m = -0.99 + -4 Combine like terms: 4 + -4 = 0 0 + 1.01m = -0.99 + -4 1.01m = -0.99 + -4 Combine like terms: -0.99 + -4 = -4.99 1.01m = -4.99 Divide each side by '1.01'. m = -4.940594059 Simplifying m = -4.940594059
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