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Simplifying 6m + 6n + -3(4m + -9n) = 0 6m + 6n + (4m * -3 + -9n * -3) = 0 6m + 6n + (-12m + 27n) = 0 Reorder the terms: 6m + -12m + 6n + 27n = 0 Combine like terms: 6m + -12m = -6m -6m + 6n + 27n = 0 Combine like terms: 6n + 27n = 33n -6m + 33n = 0 Solving -6m + 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. -6m + 33n + -33n = 0 + -33n Combine like terms: 33n + -33n = 0 -6m + 0 = 0 + -33n -6m = 0 + -33n Remove the zero: -6m = -33n Divide each side by '-6'. m = 5.5n Simplifying m = 5.5n
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