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Simplifying 2(3n + 2) = 9(9n + 1) + 5 Reorder the terms: 2(2 + 3n) = 9(9n + 1) + 5 (2 * 2 + 3n * 2) = 9(9n + 1) + 5 (4 + 6n) = 9(9n + 1) + 5 Reorder the terms: 4 + 6n = 9(1 + 9n) + 5 4 + 6n = (1 * 9 + 9n * 9) + 5 4 + 6n = (9 + 81n) + 5 Reorder the terms: 4 + 6n = 9 + 5 + 81n Combine like terms: 9 + 5 = 14 4 + 6n = 14 + 81n Solving 4 + 6n = 14 + 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. 4 + 6n + -81n = 14 + 81n + -81n Combine like terms: 6n + -81n = -75n 4 + -75n = 14 + 81n + -81n Combine like terms: 81n + -81n = 0 4 + -75n = 14 + 0 4 + -75n = 14 Add '-4' to each side of the equation. 4 + -4 + -75n = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -75n = 14 + -4 -75n = 14 + -4 Combine like terms: 14 + -4 = 10 -75n = 10 Divide each side by '-75'. n = -0.1333333333 Simplifying n = -0.1333333333
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