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Simplifying 6(3n + 4) = 9(8n + 5) + 6 Reorder the terms: 6(4 + 3n) = 9(8n + 5) + 6 (4 * 6 + 3n * 6) = 9(8n + 5) + 6 (24 + 18n) = 9(8n + 5) + 6 Reorder the terms: 24 + 18n = 9(5 + 8n) + 6 24 + 18n = (5 * 9 + 8n * 9) + 6 24 + 18n = (45 + 72n) + 6 Reorder the terms: 24 + 18n = 45 + 6 + 72n Combine like terms: 45 + 6 = 51 24 + 18n = 51 + 72n Solving 24 + 18n = 51 + 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 + 18n + -72n = 51 + 72n + -72n Combine like terms: 18n + -72n = -54n 24 + -54n = 51 + 72n + -72n Combine like terms: 72n + -72n = 0 24 + -54n = 51 + 0 24 + -54n = 51 Add '-24' to each side of the equation. 24 + -24 + -54n = 51 + -24 Combine like terms: 24 + -24 = 0 0 + -54n = 51 + -24 -54n = 51 + -24 Combine like terms: 51 + -24 = 27 -54n = 27 Divide each side by '-54'. n = -0.5 Simplifying n = -0.5
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