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Simplifying 6(2n + 4) = 9(8n + 1) + 4 Reorder the terms: 6(4 + 2n) = 9(8n + 1) + 4 (4 * 6 + 2n * 6) = 9(8n + 1) + 4 (24 + 12n) = 9(8n + 1) + 4 Reorder the terms: 24 + 12n = 9(1 + 8n) + 4 24 + 12n = (1 * 9 + 8n * 9) + 4 24 + 12n = (9 + 72n) + 4 Reorder the terms: 24 + 12n = 9 + 4 + 72n Combine like terms: 9 + 4 = 13 24 + 12n = 13 + 72n Solving 24 + 12n = 13 + 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. 24 + 12n + -72n = 13 + 72n + -72n Combine like terms: 12n + -72n = -60n 24 + -60n = 13 + 72n + -72n Combine like terms: 72n + -72n = 0 24 + -60n = 13 + 0 24 + -60n = 13 Add '-24' to each side of the equation. 24 + -24 + -60n = 13 + -24 Combine like terms: 24 + -24 = 0 0 + -60n = 13 + -24 -60n = 13 + -24 Combine like terms: 13 + -24 = -11 -60n = -11 Divide each side by '-60'. n = 0.1833333333 Simplifying n = 0.1833333333
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