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Simplifying 3m + 5n + 3(2m + -1n) = 0 3m + 5n + (2m * 3 + -1n * 3) = 0 3m + 5n + (6m + -3n) = 0 Reorder the terms: 3m + 6m + 5n + -3n = 0 Combine like terms: 3m + 6m = 9m 9m + 5n + -3n = 0 Combine like terms: 5n + -3n = 2n 9m + 2n = 0 Solving 9m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 9m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 9m + 0 = 0 + -2n 9m = 0 + -2n Remove the zero: 9m = -2n Divide each side by '9'. m = -0.2222222222n Simplifying m = -0.2222222222n
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