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Simplifying 3m + 2n + -9(4m + -8n) = 0 3m + 2n + (4m * -9 + -8n * -9) = 0 3m + 2n + (-36m + 72n) = 0 Reorder the terms: 3m + -36m + 2n + 72n = 0 Combine like terms: 3m + -36m = -33m -33m + 2n + 72n = 0 Combine like terms: 2n + 72n = 74n -33m + 74n = 0 Solving -33m + 74n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-74n' to each side of the equation. -33m + 74n + -74n = 0 + -74n Combine like terms: 74n + -74n = 0 -33m + 0 = 0 + -74n -33m = 0 + -74n Remove the zero: -33m = -74n Divide each side by '-33'. m = 2.242424242n Simplifying m = 2.242424242n
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