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Simplifying -4(6n + -4) + 8(1 + 4n) = 0 Reorder the terms: -4(-4 + 6n) + 8(1 + 4n) = 0 (-4 * -4 + 6n * -4) + 8(1 + 4n) = 0 (16 + -24n) + 8(1 + 4n) = 0 16 + -24n + (1 * 8 + 4n * 8) = 0 16 + -24n + (8 + 32n) = 0 Reorder the terms: 16 + 8 + -24n + 32n = 0 Combine like terms: 16 + 8 = 24 24 + -24n + 32n = 0 Combine like terms: -24n + 32n = 8n 24 + 8n = 0 Solving 24 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 0 + -24 8n = 0 + -24 Combine like terms: 0 + -24 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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