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Simplifying 2m + 6n + -9(5m + -4n) = 0 2m + 6n + (5m * -9 + -4n * -9) = 0 2m + 6n + (-45m + 36n) = 0 Reorder the terms: 2m + -45m + 6n + 36n = 0 Combine like terms: 2m + -45m = -43m -43m + 6n + 36n = 0 Combine like terms: 6n + 36n = 42n -43m + 42n = 0 Solving -43m + 42n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42n' to each side of the equation. -43m + 42n + -42n = 0 + -42n Combine like terms: 42n + -42n = 0 -43m + 0 = 0 + -42n -43m = 0 + -42n Remove the zero: -43m = -42n Divide each side by '-43'. m = 0.976744186n Simplifying m = 0.976744186n
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