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Simplifying 4(2n + 1) = 9(4n + 3) + 6 Reorder the terms: 4(1 + 2n) = 9(4n + 3) + 6 (1 * 4 + 2n * 4) = 9(4n + 3) + 6 (4 + 8n) = 9(4n + 3) + 6 Reorder the terms: 4 + 8n = 9(3 + 4n) + 6 4 + 8n = (3 * 9 + 4n * 9) + 6 4 + 8n = (27 + 36n) + 6 Reorder the terms: 4 + 8n = 27 + 6 + 36n Combine like terms: 27 + 6 = 33 4 + 8n = 33 + 36n Solving 4 + 8n = 33 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 4 + 8n + -36n = 33 + 36n + -36n Combine like terms: 8n + -36n = -28n 4 + -28n = 33 + 36n + -36n Combine like terms: 36n + -36n = 0 4 + -28n = 33 + 0 4 + -28n = 33 Add '-4' to each side of the equation. 4 + -4 + -28n = 33 + -4 Combine like terms: 4 + -4 = 0 0 + -28n = 33 + -4 -28n = 33 + -4 Combine like terms: 33 + -4 = 29 -28n = 29 Divide each side by '-28'. n = -1.035714286 Simplifying n = -1.035714286
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