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Simplifying 2(n + 27) = 11n Reorder the terms: 2(27 + n) = 11n (27 * 2 + n * 2) = 11n (54 + 2n) = 11n Solving 54 + 2n = 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. 54 + 2n + -11n = 11n + -11n Combine like terms: 2n + -11n = -9n 54 + -9n = 11n + -11n Combine like terms: 11n + -11n = 0 54 + -9n = 0 Add '-54' to each side of the equation. 54 + -54 + -9n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -9n = 0 + -54 -9n = 0 + -54 Combine like terms: 0 + -54 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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