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Simplifying 11(1 + 8n) = 11(9n + -1) (1 * 11 + 8n * 11) = 11(9n + -1) (11 + 88n) = 11(9n + -1) Reorder the terms: 11 + 88n = 11(-1 + 9n) 11 + 88n = (-1 * 11 + 9n * 11) 11 + 88n = (-11 + 99n) Solving 11 + 88n = -11 + 99n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-99n' to each side of the equation. 11 + 88n + -99n = -11 + 99n + -99n Combine like terms: 88n + -99n = -11n 11 + -11n = -11 + 99n + -99n Combine like terms: 99n + -99n = 0 11 + -11n = -11 + 0 11 + -11n = -11 Add '-11' to each side of the equation. 11 + -11 + -11n = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -11n = -11 + -11 -11n = -11 + -11 Combine like terms: -11 + -11 = -22 -11n = -22 Divide each side by '-11'. n = 2 Simplifying n = 2
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