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Simplifying 8n + 2(6n + -5) = 11n + 17 Reorder the terms: 8n + 2(-5 + 6n) = 11n + 17 8n + (-5 * 2 + 6n * 2) = 11n + 17 8n + (-10 + 12n) = 11n + 17 Reorder the terms: -10 + 8n + 12n = 11n + 17 Combine like terms: 8n + 12n = 20n -10 + 20n = 11n + 17 Reorder the terms: -10 + 20n = 17 + 11n Solving -10 + 20n = 17 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -10 + 20n + -11n = 17 + 11n + -11n Combine like terms: 20n + -11n = 9n -10 + 9n = 17 + 11n + -11n Combine like terms: 11n + -11n = 0 -10 + 9n = 17 + 0 -10 + 9n = 17 Add '10' to each side of the equation. -10 + 10 + 9n = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 9n = 17 + 10 9n = 17 + 10 Combine like terms: 17 + 10 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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