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Simplifying -4(m + -2n) + 2(3m + -2n) = 0 (m * -4 + -2n * -4) + 2(3m + -2n) = 0 (-4m + 8n) + 2(3m + -2n) = 0 -4m + 8n + (3m * 2 + -2n * 2) = 0 -4m + 8n + (6m + -4n) = 0 Reorder the terms: -4m + 6m + 8n + -4n = 0 Combine like terms: -4m + 6m = 2m 2m + 8n + -4n = 0 Combine like terms: 8n + -4n = 4n 2m + 4n = 0 Solving 2m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 2m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 2m + 0 = 0 + -4n 2m = 0 + -4n Remove the zero: 2m = -4n Divide each side by '2'. m = -2n Simplifying m = -2n
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