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Simplifying 5m + 4n + -4(9m + -9n) = 0 5m + 4n + (9m * -4 + -9n * -4) = 0 5m + 4n + (-36m + 36n) = 0 Reorder the terms: 5m + -36m + 4n + 36n = 0 Combine like terms: 5m + -36m = -31m -31m + 4n + 36n = 0 Combine like terms: 4n + 36n = 40n -31m + 40n = 0 Solving -31m + 40n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40n' to each side of the equation. -31m + 40n + -40n = 0 + -40n Combine like terms: 40n + -40n = 0 -31m + 0 = 0 + -40n -31m = 0 + -40n Remove the zero: -31m = -40n Divide each side by '-31'. m = 1.290322581n Simplifying m = 1.290322581n
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