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Simplifying 6m + 4n + 7m + 8n = 0 Reorder the terms: 6m + 7m + 4n + 8n = 0 Combine like terms: 6m + 7m = 13m 13m + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 13m + 12n = 0 Solving 13m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. 13m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 13m + 0 = 0 + -12n 13m = 0 + -12n Remove the zero: 13m = -12n Divide each side by '13'. m = -0.9230769231n Simplifying m = -0.9230769231n
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