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Simplifying 6m + 9n + -3(3m + -8n) = 0 6m + 9n + (3m * -3 + -8n * -3) = 0 6m + 9n + (-9m + 24n) = 0 Reorder the terms: 6m + -9m + 9n + 24n = 0 Combine like terms: 6m + -9m = -3m -3m + 9n + 24n = 0 Combine like terms: 9n + 24n = 33n -3m + 33n = 0 Solving -3m + 33n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33n' to each side of the equation. -3m + 33n + -33n = 0 + -33n Combine like terms: 33n + -33n = 0 -3m + 0 = 0 + -33n -3m = 0 + -33n Remove the zero: -3m = -33n Divide each side by '-3'. m = 11n Simplifying m = 11n
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