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Simplifying 4m + 6n + -6(8m + -4n) = 0 4m + 6n + (8m * -6 + -4n * -6) = 0 4m + 6n + (-48m + 24n) = 0 Reorder the terms: 4m + -48m + 6n + 24n = 0 Combine like terms: 4m + -48m = -44m -44m + 6n + 24n = 0 Combine like terms: 6n + 24n = 30n -44m + 30n = 0 Solving -44m + 30n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30n' to each side of the equation. -44m + 30n + -30n = 0 + -30n Combine like terms: 30n + -30n = 0 -44m + 0 = 0 + -30n -44m = 0 + -30n Remove the zero: -44m = -30n Divide each side by '-44'. m = 0.6818181818n Simplifying m = 0.6818181818n
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