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Simplifying 0.25(m + 2n) + -0.33(3m + -3n) = 0 (m * 0.25 + 2n * 0.25) + -0.33(3m + -3n) = 0 (0.25m + 0.5n) + -0.33(3m + -3n) = 0 0.25m + 0.5n + (3m * -0.33 + -3n * -0.33) = 0 0.25m + 0.5n + (-0.99m + 0.99n) = 0 Reorder the terms: 0.25m + -0.99m + 0.5n + 0.99n = 0 Combine like terms: 0.25m + -0.99m = -0.74m -0.74m + 0.5n + 0.99n = 0 Combine like terms: 0.5n + 0.99n = 1.49n -0.74m + 1.49n = 0 Solving -0.74m + 1.49n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.49n' to each side of the equation. -0.74m + 1.49n + -1.49n = 0 + -1.49n Combine like terms: 1.49n + -1.49n = 0.00 -0.74m + 0.00 = 0 + -1.49n -0.74m = 0 + -1.49n Remove the zero: -0.74m = -1.49n Divide each side by '-0.74'. m = 2.013513514n Simplifying m = 2.013513514n
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