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Simplifying -4(m + 2n) + 3(2m + -1n) = 0 (m * -4 + 2n * -4) + 3(2m + -1n) = 0 (-4m + -8n) + 3(2m + -1n) = 0 -4m + -8n + (2m * 3 + -1n * 3) = 0 -4m + -8n + (6m + -3n) = 0 Reorder the terms: -4m + 6m + -8n + -3n = 0 Combine like terms: -4m + 6m = 2m 2m + -8n + -3n = 0 Combine like terms: -8n + -3n = -11n 2m + -11n = 0 Solving 2m + -11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 2m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 2m + 0 = 0 + 11n 2m = 0 + 11n Remove the zero: 2m = 11n Divide each side by '2'. m = 5.5n Simplifying m = 5.5n
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