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Simplifying 4m + 7n + -6(5m + -4n) = 0 4m + 7n + (5m * -6 + -4n * -6) = 0 4m + 7n + (-30m + 24n) = 0 Reorder the terms: 4m + -30m + 7n + 24n = 0 Combine like terms: 4m + -30m = -26m -26m + 7n + 24n = 0 Combine like terms: 7n + 24n = 31n -26m + 31n = 0 Solving -26m + 31n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31n' to each side of the equation. -26m + 31n + -31n = 0 + -31n Combine like terms: 31n + -31n = 0 -26m + 0 = 0 + -31n -26m = 0 + -31n Remove the zero: -26m = -31n Divide each side by '-26'. m = 1.192307692n Simplifying m = 1.192307692n
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