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Simplifying 4(3n + 2) = 9(8n + 4) + 1 Reorder the terms: 4(2 + 3n) = 9(8n + 4) + 1 (2 * 4 + 3n * 4) = 9(8n + 4) + 1 (8 + 12n) = 9(8n + 4) + 1 Reorder the terms: 8 + 12n = 9(4 + 8n) + 1 8 + 12n = (4 * 9 + 8n * 9) + 1 8 + 12n = (36 + 72n) + 1 Reorder the terms: 8 + 12n = 36 + 1 + 72n Combine like terms: 36 + 1 = 37 8 + 12n = 37 + 72n Solving 8 + 12n = 37 + 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. 8 + 12n + -72n = 37 + 72n + -72n Combine like terms: 12n + -72n = -60n 8 + -60n = 37 + 72n + -72n Combine like terms: 72n + -72n = 0 8 + -60n = 37 + 0 8 + -60n = 37 Add '-8' to each side of the equation. 8 + -8 + -60n = 37 + -8 Combine like terms: 8 + -8 = 0 0 + -60n = 37 + -8 -60n = 37 + -8 Combine like terms: 37 + -8 = 29 -60n = 29 Divide each side by '-60'. n = -0.4833333333 Simplifying n = -0.4833333333
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