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Simplifying 6(2n + 2) = 9(8n + 5) + 1 Reorder the terms: 6(2 + 2n) = 9(8n + 5) + 1 (2 * 6 + 2n * 6) = 9(8n + 5) + 1 (12 + 12n) = 9(8n + 5) + 1 Reorder the terms: 12 + 12n = 9(5 + 8n) + 1 12 + 12n = (5 * 9 + 8n * 9) + 1 12 + 12n = (45 + 72n) + 1 Reorder the terms: 12 + 12n = 45 + 1 + 72n Combine like terms: 45 + 1 = 46 12 + 12n = 46 + 72n Solving 12 + 12n = 46 + 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. 12 + 12n + -72n = 46 + 72n + -72n Combine like terms: 12n + -72n = -60n 12 + -60n = 46 + 72n + -72n Combine like terms: 72n + -72n = 0 12 + -60n = 46 + 0 12 + -60n = 46 Add '-12' to each side of the equation. 12 + -12 + -60n = 46 + -12 Combine like terms: 12 + -12 = 0 0 + -60n = 46 + -12 -60n = 46 + -12 Combine like terms: 46 + -12 = 34 -60n = 34 Divide each side by '-60'. n = -0.5666666667 Simplifying n = -0.5666666667
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