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Simplifying 9(3 + 3n) = 11(n + 1) (3 * 9 + 3n * 9) = 11(n + 1) (27 + 27n) = 11(n + 1) Reorder the terms: 27 + 27n = 11(1 + n) 27 + 27n = (1 * 11 + n * 11) 27 + 27n = (11 + 11n) Solving 27 + 27n = 11 + 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. 27 + 27n + -11n = 11 + 11n + -11n Combine like terms: 27n + -11n = 16n 27 + 16n = 11 + 11n + -11n Combine like terms: 11n + -11n = 0 27 + 16n = 11 + 0 27 + 16n = 11 Add '-27' to each side of the equation. 27 + -27 + 16n = 11 + -27 Combine like terms: 27 + -27 = 0 0 + 16n = 11 + -27 16n = 11 + -27 Combine like terms: 11 + -27 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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