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Simplifying 11(1 + 11n) + 8(n + 9) = 0 (1 * 11 + 11n * 11) + 8(n + 9) = 0 (11 + 121n) + 8(n + 9) = 0 Reorder the terms: 11 + 121n + 8(9 + n) = 0 11 + 121n + (9 * 8 + n * 8) = 0 11 + 121n + (72 + 8n) = 0 Reorder the terms: 11 + 72 + 121n + 8n = 0 Combine like terms: 11 + 72 = 83 83 + 121n + 8n = 0 Combine like terms: 121n + 8n = 129n 83 + 129n = 0 Solving 83 + 129n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 129n = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 129n = 0 + -83 129n = 0 + -83 Combine like terms: 0 + -83 = -83 129n = -83 Divide each side by '129'. n = -0.6434108527 Simplifying n = -0.6434108527
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