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Simplifying 3m + 9n + -5(3m + -3n) = 0 3m + 9n + (3m * -5 + -3n * -5) = 0 3m + 9n + (-15m + 15n) = 0 Reorder the terms: 3m + -15m + 9n + 15n = 0 Combine like terms: 3m + -15m = -12m -12m + 9n + 15n = 0 Combine like terms: 9n + 15n = 24n -12m + 24n = 0 Solving -12m + 24n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24n' to each side of the equation. -12m + 24n + -24n = 0 + -24n Combine like terms: 24n + -24n = 0 -12m + 0 = 0 + -24n -12m = 0 + -24n Remove the zero: -12m = -24n Divide each side by '-12'. m = 2n Simplifying m = 2n
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