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Simplifying 3(2n + 1) = 8(5n + 8) + 4 Reorder the terms: 3(1 + 2n) = 8(5n + 8) + 4 (1 * 3 + 2n * 3) = 8(5n + 8) + 4 (3 + 6n) = 8(5n + 8) + 4 Reorder the terms: 3 + 6n = 8(8 + 5n) + 4 3 + 6n = (8 * 8 + 5n * 8) + 4 3 + 6n = (64 + 40n) + 4 Reorder the terms: 3 + 6n = 64 + 4 + 40n Combine like terms: 64 + 4 = 68 3 + 6n = 68 + 40n Solving 3 + 6n = 68 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 3 + 6n + -40n = 68 + 40n + -40n Combine like terms: 6n + -40n = -34n 3 + -34n = 68 + 40n + -40n Combine like terms: 40n + -40n = 0 3 + -34n = 68 + 0 3 + -34n = 68 Add '-3' to each side of the equation. 3 + -3 + -34n = 68 + -3 Combine like terms: 3 + -3 = 0 0 + -34n = 68 + -3 -34n = 68 + -3 Combine like terms: 68 + -3 = 65 -34n = 65 Divide each side by '-34'. n = -1.911764706 Simplifying n = -1.911764706
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