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Simplifying 7(2n + 3) = 9(8n + 1) + 6 Reorder the terms: 7(3 + 2n) = 9(8n + 1) + 6 (3 * 7 + 2n * 7) = 9(8n + 1) + 6 (21 + 14n) = 9(8n + 1) + 6 Reorder the terms: 21 + 14n = 9(1 + 8n) + 6 21 + 14n = (1 * 9 + 8n * 9) + 6 21 + 14n = (9 + 72n) + 6 Reorder the terms: 21 + 14n = 9 + 6 + 72n Combine like terms: 9 + 6 = 15 21 + 14n = 15 + 72n Solving 21 + 14n = 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. 21 + 14n + -72n = 15 + 72n + -72n Combine like terms: 14n + -72n = -58n 21 + -58n = 15 + 72n + -72n Combine like terms: 72n + -72n = 0 21 + -58n = 15 + 0 21 + -58n = 15 Add '-21' to each side of the equation. 21 + -21 + -58n = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -58n = 15 + -21 -58n = 15 + -21 Combine like terms: 15 + -21 = -6 -58n = -6 Divide each side by '-58'. n = 0.1034482759 Simplifying n = 0.1034482759
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