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Simplifying 9m + 6n + -9(2m + -3n) = 0 9m + 6n + (2m * -9 + -3n * -9) = 0 9m + 6n + (-18m + 27n) = 0 Reorder the terms: 9m + -18m + 6n + 27n = 0 Combine like terms: 9m + -18m = -9m -9m + 6n + 27n = 0 Combine like terms: 6n + 27n = 33n -9m + 33n = 0 Solving -9m + 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. -9m + 33n + -33n = 0 + -33n Combine like terms: 33n + -33n = 0 -9m + 0 = 0 + -33n -9m = 0 + -33n Remove the zero: -9m = -33n Divide each side by '-9'. m = 3.666666667n Simplifying m = 3.666666667n
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