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Simplifying 8(n + 8) + 6(n + 5) = 0 Reorder the terms: 8(8 + n) + 6(n + 5) = 0 (8 * 8 + n * 8) + 6(n + 5) = 0 (64 + 8n) + 6(n + 5) = 0 Reorder the terms: 64 + 8n + 6(5 + n) = 0 64 + 8n + (5 * 6 + n * 6) = 0 64 + 8n + (30 + 6n) = 0 Reorder the terms: 64 + 30 + 8n + 6n = 0 Combine like terms: 64 + 30 = 94 94 + 8n + 6n = 0 Combine like terms: 8n + 6n = 14n 94 + 14n = 0 Solving 94 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 14n = 0 + -94 Combine like terms: 94 + -94 = 0 0 + 14n = 0 + -94 14n = 0 + -94 Combine like terms: 0 + -94 = -94 14n = -94 Divide each side by '14'. n = -6.714285714 Simplifying n = -6.714285714
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