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Simplifying 5n + 27 = 11n + -9 Reorder the terms: 27 + 5n = 11n + -9 Reorder the terms: 27 + 5n = -9 + 11n Solving 27 + 5n = -9 + 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 + 5n + -11n = -9 + 11n + -11n Combine like terms: 5n + -11n = -6n 27 + -6n = -9 + 11n + -11n Combine like terms: 11n + -11n = 0 27 + -6n = -9 + 0 27 + -6n = -9 Add '-27' to each side of the equation. 27 + -27 + -6n = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -6n = -9 + -27 -6n = -9 + -27 Combine like terms: -9 + -27 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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