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Simplifying 9(n + 8) + 9(n + 5) = 0 Reorder the terms: 9(8 + n) + 9(n + 5) = 0 (8 * 9 + n * 9) + 9(n + 5) = 0 (72 + 9n) + 9(n + 5) = 0 Reorder the terms: 72 + 9n + 9(5 + n) = 0 72 + 9n + (5 * 9 + n * 9) = 0 72 + 9n + (45 + 9n) = 0 Reorder the terms: 72 + 45 + 9n + 9n = 0 Combine like terms: 72 + 45 = 117 117 + 9n + 9n = 0 Combine like terms: 9n + 9n = 18n 117 + 18n = 0 Solving 117 + 18n = 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 + 18n = 0 + -117 Combine like terms: 117 + -117 = 0 0 + 18n = 0 + -117 18n = 0 + -117 Combine like terms: 0 + -117 = -117 18n = -117 Divide each side by '18'. n = -6.5 Simplifying n = -6.5
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