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Simplifying 5(n + 9) + 8(n + 2) = 0 Reorder the terms: 5(9 + n) + 8(n + 2) = 0 (9 * 5 + n * 5) + 8(n + 2) = 0 (45 + 5n) + 8(n + 2) = 0 Reorder the terms: 45 + 5n + 8(2 + n) = 0 45 + 5n + (2 * 8 + n * 8) = 0 45 + 5n + (16 + 8n) = 0 Reorder the terms: 45 + 16 + 5n + 8n = 0 Combine like terms: 45 + 16 = 61 61 + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n 61 + 13n = 0 Solving 61 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 13n = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 13n = 0 + -61 13n = 0 + -61 Combine like terms: 0 + -61 = -61 13n = -61 Divide each side by '13'. n = -4.692307692 Simplifying n = -4.692307692
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