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Simplifying 8(3n + 1) = 9(9n + 3) + 1 Reorder the terms: 8(1 + 3n) = 9(9n + 3) + 1 (1 * 8 + 3n * 8) = 9(9n + 3) + 1 (8 + 24n) = 9(9n + 3) + 1 Reorder the terms: 8 + 24n = 9(3 + 9n) + 1 8 + 24n = (3 * 9 + 9n * 9) + 1 8 + 24n = (27 + 81n) + 1 Reorder the terms: 8 + 24n = 27 + 1 + 81n Combine like terms: 27 + 1 = 28 8 + 24n = 28 + 81n Solving 8 + 24n = 28 + 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 + 24n + -81n = 28 + 81n + -81n Combine like terms: 24n + -81n = -57n 8 + -57n = 28 + 81n + -81n Combine like terms: 81n + -81n = 0 8 + -57n = 28 + 0 8 + -57n = 28 Add '-8' to each side of the equation. 8 + -8 + -57n = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -57n = 28 + -8 -57n = 28 + -8 Combine like terms: 28 + -8 = 20 -57n = 20 Divide each side by '-57'. n = -0.350877193 Simplifying n = -0.350877193
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