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Simplifying 4(3n + 5) = 9(8n + 4) + 6 Reorder the terms: 4(5 + 3n) = 9(8n + 4) + 6 (5 * 4 + 3n * 4) = 9(8n + 4) + 6 (20 + 12n) = 9(8n + 4) + 6 Reorder the terms: 20 + 12n = 9(4 + 8n) + 6 20 + 12n = (4 * 9 + 8n * 9) + 6 20 + 12n = (36 + 72n) + 6 Reorder the terms: 20 + 12n = 36 + 6 + 72n Combine like terms: 36 + 6 = 42 20 + 12n = 42 + 72n Solving 20 + 12n = 42 + 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. 20 + 12n + -72n = 42 + 72n + -72n Combine like terms: 12n + -72n = -60n 20 + -60n = 42 + 72n + -72n Combine like terms: 72n + -72n = 0 20 + -60n = 42 + 0 20 + -60n = 42 Add '-20' to each side of the equation. 20 + -20 + -60n = 42 + -20 Combine like terms: 20 + -20 = 0 0 + -60n = 42 + -20 -60n = 42 + -20 Combine like terms: 42 + -20 = 22 -60n = 22 Divide each side by '-60'. n = -0.3666666667 Simplifying n = -0.3666666667
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