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Simplifying 5(8n + 31) + 9(n + 1) = 0 Reorder the terms: 5(31 + 8n) + 9(n + 1) = 0 (31 * 5 + 8n * 5) + 9(n + 1) = 0 (155 + 40n) + 9(n + 1) = 0 Reorder the terms: 155 + 40n + 9(1 + n) = 0 155 + 40n + (1 * 9 + n * 9) = 0 155 + 40n + (9 + 9n) = 0 Reorder the terms: 155 + 9 + 40n + 9n = 0 Combine like terms: 155 + 9 = 164 164 + 40n + 9n = 0 Combine like terms: 40n + 9n = 49n 164 + 49n = 0 Solving 164 + 49n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-164' to each side of the equation. 164 + -164 + 49n = 0 + -164 Combine like terms: 164 + -164 = 0 0 + 49n = 0 + -164 49n = 0 + -164 Combine like terms: 0 + -164 = -164 49n = -164 Divide each side by '49'. n = -3.346938776 Simplifying n = -3.346938776
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