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Simplifying 3(m + -2n) + -2(m + -4n) = 0 (m * 3 + -2n * 3) + -2(m + -4n) = 0 (3m + -6n) + -2(m + -4n) = 0 3m + -6n + (m * -2 + -4n * -2) = 0 3m + -6n + (-2m + 8n) = 0 Reorder the terms: 3m + -2m + -6n + 8n = 0 Combine like terms: 3m + -2m = 1m 1m + -6n + 8n = 0 Combine like terms: -6n + 8n = 2n 1m + 2n = 0 Solving 1m + 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. 1m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 1m + 0 = 0 + -2n 1m = 0 + -2n Remove the zero: 1m = -2n Divide each side by '1'. m = -2n Simplifying m = -2n
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