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Simplifying 4(2n + 1) = 9(9n + 7) + 5 Reorder the terms: 4(1 + 2n) = 9(9n + 7) + 5 (1 * 4 + 2n * 4) = 9(9n + 7) + 5 (4 + 8n) = 9(9n + 7) + 5 Reorder the terms: 4 + 8n = 9(7 + 9n) + 5 4 + 8n = (7 * 9 + 9n * 9) + 5 4 + 8n = (63 + 81n) + 5 Reorder the terms: 4 + 8n = 63 + 5 + 81n Combine like terms: 63 + 5 = 68 4 + 8n = 68 + 81n Solving 4 + 8n = 68 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 4 + 8n + -81n = 68 + 81n + -81n Combine like terms: 8n + -81n = -73n 4 + -73n = 68 + 81n + -81n Combine like terms: 81n + -81n = 0 4 + -73n = 68 + 0 4 + -73n = 68 Add '-4' to each side of the equation. 4 + -4 + -73n = 68 + -4 Combine like terms: 4 + -4 = 0 0 + -73n = 68 + -4 -73n = 68 + -4 Combine like terms: 68 + -4 = 64 -73n = 64 Divide each side by '-73'. n = -0.8767123288 Simplifying n = -0.8767123288
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