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Simplifying 3m + 5n + 6m + 7n = 0 Reorder the terms: 3m + 6m + 5n + 7n = 0 Combine like terms: 3m + 6m = 9m 9m + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 9m + 12n = 0 Solving 9m + 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. 9m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 9m + 0 = 0 + -12n 9m = 0 + -12n Remove the zero: 9m = -12n Divide each side by '9'. m = -1.333333333n Simplifying m = -1.333333333n
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