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Simplifying 2(3n + 1) = 8(4n + 9) + 9 Reorder the terms: 2(1 + 3n) = 8(4n + 9) + 9 (1 * 2 + 3n * 2) = 8(4n + 9) + 9 (2 + 6n) = 8(4n + 9) + 9 Reorder the terms: 2 + 6n = 8(9 + 4n) + 9 2 + 6n = (9 * 8 + 4n * 8) + 9 2 + 6n = (72 + 32n) + 9 Reorder the terms: 2 + 6n = 72 + 9 + 32n Combine like terms: 72 + 9 = 81 2 + 6n = 81 + 32n Solving 2 + 6n = 81 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 2 + 6n + -32n = 81 + 32n + -32n Combine like terms: 6n + -32n = -26n 2 + -26n = 81 + 32n + -32n Combine like terms: 32n + -32n = 0 2 + -26n = 81 + 0 2 + -26n = 81 Add '-2' to each side of the equation. 2 + -2 + -26n = 81 + -2 Combine like terms: 2 + -2 = 0 0 + -26n = 81 + -2 -26n = 81 + -2 Combine like terms: 81 + -2 = 79 -26n = 79 Divide each side by '-26'. n = -3.038461538 Simplifying n = -3.038461538
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