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Simplifying 8(n + 6) + 6(n + 8) = 0 Reorder the terms: 8(6 + n) + 6(n + 8) = 0 (6 * 8 + n * 8) + 6(n + 8) = 0 (48 + 8n) + 6(n + 8) = 0 Reorder the terms: 48 + 8n + 6(8 + n) = 0 48 + 8n + (8 * 6 + n * 6) = 0 48 + 8n + (48 + 6n) = 0 Reorder the terms: 48 + 48 + 8n + 6n = 0 Combine like terms: 48 + 48 = 96 96 + 8n + 6n = 0 Combine like terms: 8n + 6n = 14n 96 + 14n = 0 Solving 96 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 14n = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 14n = 0 + -96 14n = 0 + -96 Combine like terms: 0 + -96 = -96 14n = -96 Divide each side by '14'. n = -6.857142857 Simplifying n = -6.857142857
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