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Simplifying -9(n + -11) = 9(7 + -3n) Reorder the terms: -9(-11 + n) = 9(7 + -3n) (-11 * -9 + n * -9) = 9(7 + -3n) (99 + -9n) = 9(7 + -3n) 99 + -9n = (7 * 9 + -3n * 9) 99 + -9n = (63 + -27n) Solving 99 + -9n = 63 + -27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27n' to each side of the equation. 99 + -9n + 27n = 63 + -27n + 27n Combine like terms: -9n + 27n = 18n 99 + 18n = 63 + -27n + 27n Combine like terms: -27n + 27n = 0 99 + 18n = 63 + 0 99 + 18n = 63 Add '-99' to each side of the equation. 99 + -99 + 18n = 63 + -99 Combine like terms: 99 + -99 = 0 0 + 18n = 63 + -99 18n = 63 + -99 Combine like terms: 63 + -99 = -36 18n = -36 Divide each side by '18'. n = -2 Simplifying n = -2
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