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Simplifying 9m + 5n + -6m + 8n = 0 Reorder the terms: 9m + -6m + 5n + 8n = 0 Combine like terms: 9m + -6m = 3m 3m + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n 3m + 13n = 0 Solving 3m + 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. 3m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 3m + 0 = 0 + -13n 3m = 0 + -13n Remove the zero: 3m = -13n Divide each side by '3'. m = -4.333333333n Simplifying m = -4.333333333n
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