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Simplifying 5(n + 2) + 8n + 1 = 0 Reorder the terms: 5(2 + n) + 8n + 1 = 0 (2 * 5 + n * 5) + 8n + 1 = 0 (10 + 5n) + 8n + 1 = 0 Reorder the terms: 10 + 1 + 5n + 8n = 0 Combine like terms: 10 + 1 = 11 11 + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n 11 + 13n = 0 Solving 11 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13n = 0 + -11 13n = 0 + -11 Combine like terms: 0 + -11 = -11 13n = -11 Divide each side by '13'. n = -0.8461538462 Simplifying n = -0.8461538462
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