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Simplifying 6(2n + 3) = 9(8n + 1) + 6 Reorder the terms: 6(3 + 2n) = 9(8n + 1) + 6 (3 * 6 + 2n * 6) = 9(8n + 1) + 6 (18 + 12n) = 9(8n + 1) + 6 Reorder the terms: 18 + 12n = 9(1 + 8n) + 6 18 + 12n = (1 * 9 + 8n * 9) + 6 18 + 12n = (9 + 72n) + 6 Reorder the terms: 18 + 12n = 9 + 6 + 72n Combine like terms: 9 + 6 = 15 18 + 12n = 15 + 72n Solving 18 + 12n = 15 + 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. 18 + 12n + -72n = 15 + 72n + -72n Combine like terms: 12n + -72n = -60n 18 + -60n = 15 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -60n = 15 + 0 18 + -60n = 15 Add '-18' to each side of the equation. 18 + -18 + -60n = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -60n = 15 + -18 -60n = 15 + -18 Combine like terms: 15 + -18 = -3 -60n = -3 Divide each side by '-60'. n = 0.05 Simplifying n = 0.05
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