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Simplifying 8(2n + 1) = 9(6n + 3) + 4 Reorder the terms: 8(1 + 2n) = 9(6n + 3) + 4 (1 * 8 + 2n * 8) = 9(6n + 3) + 4 (8 + 16n) = 9(6n + 3) + 4 Reorder the terms: 8 + 16n = 9(3 + 6n) + 4 8 + 16n = (3 * 9 + 6n * 9) + 4 8 + 16n = (27 + 54n) + 4 Reorder the terms: 8 + 16n = 27 + 4 + 54n Combine like terms: 27 + 4 = 31 8 + 16n = 31 + 54n Solving 8 + 16n = 31 + 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 = 31 + 54n + -54n Combine like terms: 16n + -54n = -38n 8 + -38n = 31 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -38n = 31 + 0 8 + -38n = 31 Add '-8' to each side of the equation. 8 + -8 + -38n = 31 + -8 Combine like terms: 8 + -8 = 0 0 + -38n = 31 + -8 -38n = 31 + -8 Combine like terms: 31 + -8 = 23 -38n = 23 Divide each side by '-38'. n = -0.6052631579 Simplifying n = -0.6052631579
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