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Simplifying 3(3n + 3) = 9(8n + 7) + 6 Reorder the terms: 3(3 + 3n) = 9(8n + 7) + 6 (3 * 3 + 3n * 3) = 9(8n + 7) + 6 (9 + 9n) = 9(8n + 7) + 6 Reorder the terms: 9 + 9n = 9(7 + 8n) + 6 9 + 9n = (7 * 9 + 8n * 9) + 6 9 + 9n = (63 + 72n) + 6 Reorder the terms: 9 + 9n = 63 + 6 + 72n Combine like terms: 63 + 6 = 69 9 + 9n = 69 + 72n Solving 9 + 9n = 69 + 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. 9 + 9n + -72n = 69 + 72n + -72n Combine like terms: 9n + -72n = -63n 9 + -63n = 69 + 72n + -72n Combine like terms: 72n + -72n = 0 9 + -63n = 69 + 0 9 + -63n = 69 Add '-9' to each side of the equation. 9 + -9 + -63n = 69 + -9 Combine like terms: 9 + -9 = 0 0 + -63n = 69 + -9 -63n = 69 + -9 Combine like terms: 69 + -9 = 60 -63n = 60 Divide each side by '-63'. n = -0.9523809524 Simplifying n = -0.9523809524
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