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Simplifying 4(2n + 1) = 9(3n + 9) + 4 Reorder the terms: 4(1 + 2n) = 9(3n + 9) + 4 (1 * 4 + 2n * 4) = 9(3n + 9) + 4 (4 + 8n) = 9(3n + 9) + 4 Reorder the terms: 4 + 8n = 9(9 + 3n) + 4 4 + 8n = (9 * 9 + 3n * 9) + 4 4 + 8n = (81 + 27n) + 4 Reorder the terms: 4 + 8n = 81 + 4 + 27n Combine like terms: 81 + 4 = 85 4 + 8n = 85 + 27n Solving 4 + 8n = 85 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 4 + 8n + -27n = 85 + 27n + -27n Combine like terms: 8n + -27n = -19n 4 + -19n = 85 + 27n + -27n Combine like terms: 27n + -27n = 0 4 + -19n = 85 + 0 4 + -19n = 85 Add '-4' to each side of the equation. 4 + -4 + -19n = 85 + -4 Combine like terms: 4 + -4 = 0 0 + -19n = 85 + -4 -19n = 85 + -4 Combine like terms: 85 + -4 = 81 -19n = 81 Divide each side by '-19'. n = -4.263157895 Simplifying n = -4.263157895
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