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Simplifying 8(3n + 1) = 9(7n + 9) + 9 Reorder the terms: 8(1 + 3n) = 9(7n + 9) + 9 (1 * 8 + 3n * 8) = 9(7n + 9) + 9 (8 + 24n) = 9(7n + 9) + 9 Reorder the terms: 8 + 24n = 9(9 + 7n) + 9 8 + 24n = (9 * 9 + 7n * 9) + 9 8 + 24n = (81 + 63n) + 9 Reorder the terms: 8 + 24n = 81 + 9 + 63n Combine like terms: 81 + 9 = 90 8 + 24n = 90 + 63n Solving 8 + 24n = 90 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 8 + 24n + -63n = 90 + 63n + -63n Combine like terms: 24n + -63n = -39n 8 + -39n = 90 + 63n + -63n Combine like terms: 63n + -63n = 0 8 + -39n = 90 + 0 8 + -39n = 90 Add '-8' to each side of the equation. 8 + -8 + -39n = 90 + -8 Combine like terms: 8 + -8 = 0 0 + -39n = 90 + -8 -39n = 90 + -8 Combine like terms: 90 + -8 = 82 -39n = 82 Divide each side by '-39'. n = -2.102564103 Simplifying n = -2.102564103
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