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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 = 61 61 + -121n + 8n = 0 Combine like terms: -121n + 8n = -113n 61 + -113n = 0 Solving 61 + -113n = 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 + -113n = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -113n = 0 + -61 -113n = 0 + -61 Combine like terms: 0 + -61 = -61 -113n = -61 Divide each side by '-113'. n = 0.5398230088 Simplifying n = 0.5398230088
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