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Simplifying 9(n + 5) + 8(n + 9) = 0 Reorder the terms: 9(5 + n) + 8(n + 9) = 0 (5 * 9 + n * 9) + 8(n + 9) = 0 (45 + 9n) + 8(n + 9) = 0 Reorder the terms: 45 + 9n + 8(9 + n) = 0 45 + 9n + (9 * 8 + n * 8) = 0 45 + 9n + (72 + 8n) = 0 Reorder the terms: 45 + 72 + 9n + 8n = 0 Combine like terms: 45 + 72 = 117 117 + 9n + 8n = 0 Combine like terms: 9n + 8n = 17n 117 + 17n = 0 Solving 117 + 17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + 17n = 0 + -117 Combine like terms: 117 + -117 = 0 0 + 17n = 0 + -117 17n = 0 + -117 Combine like terms: 0 + -117 = -117 17n = -117 Divide each side by '17'. n = -6.882352941 Simplifying n = -6.882352941
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