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Simplifying 8(2n + 1) = 9(6n + 5) + 2 Reorder the terms: 8(1 + 2n) = 9(6n + 5) + 2 (1 * 8 + 2n * 8) = 9(6n + 5) + 2 (8 + 16n) = 9(6n + 5) + 2 Reorder the terms: 8 + 16n = 9(5 + 6n) + 2 8 + 16n = (5 * 9 + 6n * 9) + 2 8 + 16n = (45 + 54n) + 2 Reorder the terms: 8 + 16n = 45 + 2 + 54n Combine like terms: 45 + 2 = 47 8 + 16n = 47 + 54n Solving 8 + 16n = 47 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 8 + 16n + -54n = 47 + 54n + -54n Combine like terms: 16n + -54n = -38n 8 + -38n = 47 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -38n = 47 + 0 8 + -38n = 47 Add '-8' to each side of the equation. 8 + -8 + -38n = 47 + -8 Combine like terms: 8 + -8 = 0 0 + -38n = 47 + -8 -38n = 47 + -8 Combine like terms: 47 + -8 = 39 -38n = 39 Divide each side by '-38'. n = -1.026315789 Simplifying n = -1.026315789
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