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Simplifying 6(8n + 31) + 7(n + 1) = 0 Reorder the terms: 6(31 + 8n) + 7(n + 1) = 0 (31 * 6 + 8n * 6) + 7(n + 1) = 0 (186 + 48n) + 7(n + 1) = 0 Reorder the terms: 186 + 48n + 7(1 + n) = 0 186 + 48n + (1 * 7 + n * 7) = 0 186 + 48n + (7 + 7n) = 0 Reorder the terms: 186 + 7 + 48n + 7n = 0 Combine like terms: 186 + 7 = 193 193 + 48n + 7n = 0 Combine like terms: 48n + 7n = 55n 193 + 55n = 0 Solving 193 + 55n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-193' to each side of the equation. 193 + -193 + 55n = 0 + -193 Combine like terms: 193 + -193 = 0 0 + 55n = 0 + -193 55n = 0 + -193 Combine like terms: 0 + -193 = -193 55n = -193 Divide each side by '55'. n = -3.509090909 Simplifying n = -3.509090909
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