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Simplifying 3(3n + 2) + 2n = 27 + 8n Reorder the terms: 3(2 + 3n) + 2n = 27 + 8n (2 * 3 + 3n * 3) + 2n = 27 + 8n (6 + 9n) + 2n = 27 + 8n Combine like terms: 9n + 2n = 11n 6 + 11n = 27 + 8n Solving 6 + 11n = 27 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 6 + 11n + -8n = 27 + 8n + -8n Combine like terms: 11n + -8n = 3n 6 + 3n = 27 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + 3n = 27 + 0 6 + 3n = 27 Add '-6' to each side of the equation. 6 + -6 + 3n = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 27 + -6 3n = 27 + -6 Combine like terms: 27 + -6 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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