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Simplifying -9(n + 11) = -9(3n + -5) Reorder the terms: -9(11 + n) = -9(3n + -5) (11 * -9 + n * -9) = -9(3n + -5) (-99 + -9n) = -9(3n + -5) Reorder the terms: -99 + -9n = -9(-5 + 3n) -99 + -9n = (-5 * -9 + 3n * -9) -99 + -9n = (45 + -27n) Solving -99 + -9n = 45 + -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 = 45 + -27n + 27n Combine like terms: -9n + 27n = 18n -99 + 18n = 45 + -27n + 27n Combine like terms: -27n + 27n = 0 -99 + 18n = 45 + 0 -99 + 18n = 45 Add '99' to each side of the equation. -99 + 99 + 18n = 45 + 99 Combine like terms: -99 + 99 = 0 0 + 18n = 45 + 99 18n = 45 + 99 Combine like terms: 45 + 99 = 144 18n = 144 Divide each side by '18'. n = 8 Simplifying n = 8
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