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Simplifying 3m + 6n + 4m + 9n = 0 Reorder the terms: 3m + 4m + 6n + 9n = 0 Combine like terms: 3m + 4m = 7m 7m + 6n + 9n = 0 Combine like terms: 6n + 9n = 15n 7m + 15n = 0 Solving 7m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. 7m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 7m + 0 = 0 + -15n 7m = 0 + -15n Remove the zero: 7m = -15n Divide each side by '7'. m = -2.142857143n Simplifying m = -2.142857143n
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