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Simplifying 5m + 4n + 3(2m + -5n) = 0 5m + 4n + (2m * 3 + -5n * 3) = 0 5m + 4n + (6m + -15n) = 0 Reorder the terms: 5m + 6m + 4n + -15n = 0 Combine like terms: 5m + 6m = 11m 11m + 4n + -15n = 0 Combine like terms: 4n + -15n = -11n 11m + -11n = 0 Solving 11m + -11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 11m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 11m + 0 = 0 + 11n 11m = 0 + 11n Remove the zero: 11m = 11n Divide each side by '11'. m = n Simplifying m = n
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