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Simplifying 9m + 4n + 3m + 9n = 0 Reorder the terms: 9m + 3m + 4n + 9n = 0 Combine like terms: 9m + 3m = 12m 12m + 4n + 9n = 0 Combine like terms: 4n + 9n = 13n 12m + 13n = 0 Solving 12m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13n' to each side of the equation. 12m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 12m + 0 = 0 + -13n 12m = 0 + -13n Remove the zero: 12m = -13n Divide each side by '12'. m = -1.083333333n Simplifying m = -1.083333333n
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