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Simplifying 9m + 7n + -6(3m + -7n) = 0 9m + 7n + (3m * -6 + -7n * -6) = 0 9m + 7n + (-18m + 42n) = 0 Reorder the terms: 9m + -18m + 7n + 42n = 0 Combine like terms: 9m + -18m = -9m -9m + 7n + 42n = 0 Combine like terms: 7n + 42n = 49n -9m + 49n = 0 Solving -9m + 49n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49n' to each side of the equation. -9m + 49n + -49n = 0 + -49n Combine like terms: 49n + -49n = 0 -9m + 0 = 0 + -49n -9m = 0 + -49n Remove the zero: -9m = -49n Divide each side by '-9'. m = 5.444444444n Simplifying m = 5.444444444n
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