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Simplifying 3(8n + 2) + 2 = 2 + -9n Reorder the terms: 3(2 + 8n) + 2 = 2 + -9n (2 * 3 + 8n * 3) + 2 = 2 + -9n (6 + 24n) + 2 = 2 + -9n Reorder the terms: 6 + 2 + 24n = 2 + -9n Combine like terms: 6 + 2 = 8 8 + 24n = 2 + -9n Solving 8 + 24n = 2 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 8 + 24n + 9n = 2 + -9n + 9n Combine like terms: 24n + 9n = 33n 8 + 33n = 2 + -9n + 9n Combine like terms: -9n + 9n = 0 8 + 33n = 2 + 0 8 + 33n = 2 Add '-8' to each side of the equation. 8 + -8 + 33n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 33n = 2 + -8 33n = 2 + -8 Combine like terms: 2 + -8 = -6 33n = -6 Divide each side by '33'. n = -0.1818181818 Simplifying n = -0.1818181818
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