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Simplifying 8n(3m + 8n) + 2n = 0 (3m * 8n + 8n * 8n) + 2n = 0 (24mn + 64n2) + 2n = 0 Reorder the terms: 24mn + 2n + 64n2 = 0 Solving 24mn + 2n + 64n2 = 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. 24mn + 2n + -2n + 64n2 = 0 + -2n Combine like terms: 2n + -2n = 0 24mn + 0 + 64n2 = 0 + -2n 24mn + 64n2 = 0 + -2n Remove the zero: 24mn + 64n2 = -2n Add '-64n2' to each side of the equation. 24mn + 64n2 + -64n2 = -2n + -64n2 Combine like terms: 64n2 + -64n2 = 0 24mn + 0 = -2n + -64n2 24mn = -2n + -64n2 Divide each side by '24n'. m = -0.08333333333 + -2.666666667n Simplifying m = -0.08333333333 + -2.666666667n
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