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Simplifying -3(1 + -2n) + 2(n + 4) = 0 (1 * -3 + -2n * -3) + 2(n + 4) = 0 (-3 + 6n) + 2(n + 4) = 0 Reorder the terms: -3 + 6n + 2(4 + n) = 0 -3 + 6n + (4 * 2 + n * 2) = 0 -3 + 6n + (8 + 2n) = 0 Reorder the terms: -3 + 8 + 6n + 2n = 0 Combine like terms: -3 + 8 = 5 5 + 6n + 2n = 0 Combine like terms: 6n + 2n = 8n 5 + 8n = 0 Solving 5 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 0 + -5 8n = 0 + -5 Combine like terms: 0 + -5 = -5 8n = -5 Divide each side by '8'. n = -0.625 Simplifying n = -0.625
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