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Simplifying 2(2n + 1) = 9(8n + 6) + 7 Reorder the terms: 2(1 + 2n) = 9(8n + 6) + 7 (1 * 2 + 2n * 2) = 9(8n + 6) + 7 (2 + 4n) = 9(8n + 6) + 7 Reorder the terms: 2 + 4n = 9(6 + 8n) + 7 2 + 4n = (6 * 9 + 8n * 9) + 7 2 + 4n = (54 + 72n) + 7 Reorder the terms: 2 + 4n = 54 + 7 + 72n Combine like terms: 54 + 7 = 61 2 + 4n = 61 + 72n Solving 2 + 4n = 61 + 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. 2 + 4n + -72n = 61 + 72n + -72n Combine like terms: 4n + -72n = -68n 2 + -68n = 61 + 72n + -72n Combine like terms: 72n + -72n = 0 2 + -68n = 61 + 0 2 + -68n = 61 Add '-2' to each side of the equation. 2 + -2 + -68n = 61 + -2 Combine like terms: 2 + -2 = 0 0 + -68n = 61 + -2 -68n = 61 + -2 Combine like terms: 61 + -2 = 59 -68n = 59 Divide each side by '-68'. n = -0.8676470588 Simplifying n = -0.8676470588
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