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Simplifying 3(2n + 1) = 9(8n + 7) + 8 Reorder the terms: 3(1 + 2n) = 9(8n + 7) + 8 (1 * 3 + 2n * 3) = 9(8n + 7) + 8 (3 + 6n) = 9(8n + 7) + 8 Reorder the terms: 3 + 6n = 9(7 + 8n) + 8 3 + 6n = (7 * 9 + 8n * 9) + 8 3 + 6n = (63 + 72n) + 8 Reorder the terms: 3 + 6n = 63 + 8 + 72n Combine like terms: 63 + 8 = 71 3 + 6n = 71 + 72n Solving 3 + 6n = 71 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 3 + 6n + -72n = 71 + 72n + -72n Combine like terms: 6n + -72n = -66n 3 + -66n = 71 + 72n + -72n Combine like terms: 72n + -72n = 0 3 + -66n = 71 + 0 3 + -66n = 71 Add '-3' to each side of the equation. 3 + -3 + -66n = 71 + -3 Combine like terms: 3 + -3 = 0 0 + -66n = 71 + -3 -66n = 71 + -3 Combine like terms: 71 + -3 = 68 -66n = 68 Divide each side by '-66'. n = -1.03030303 Simplifying n = -1.03030303
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