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Simplifying 2(3n + 4) = 9(9n + 5) + 4 Reorder the terms: 2(4 + 3n) = 9(9n + 5) + 4 (4 * 2 + 3n * 2) = 9(9n + 5) + 4 (8 + 6n) = 9(9n + 5) + 4 Reorder the terms: 8 + 6n = 9(5 + 9n) + 4 8 + 6n = (5 * 9 + 9n * 9) + 4 8 + 6n = (45 + 81n) + 4 Reorder the terms: 8 + 6n = 45 + 4 + 81n Combine like terms: 45 + 4 = 49 8 + 6n = 49 + 81n Solving 8 + 6n = 49 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 8 + 6n + -81n = 49 + 81n + -81n Combine like terms: 6n + -81n = -75n 8 + -75n = 49 + 81n + -81n Combine like terms: 81n + -81n = 0 8 + -75n = 49 + 0 8 + -75n = 49 Add '-8' to each side of the equation. 8 + -8 + -75n = 49 + -8 Combine like terms: 8 + -8 = 0 0 + -75n = 49 + -8 -75n = 49 + -8 Combine like terms: 49 + -8 = 41 -75n = 41 Divide each side by '-75'. n = -0.5466666667 Simplifying n = -0.5466666667
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