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Simplifying -9(11 + -3n) + 2n = -2n + 6(7n + 11) (11 * -9 + -3n * -9) + 2n = -2n + 6(7n + 11) (-99 + 27n) + 2n = -2n + 6(7n + 11) Combine like terms: 27n + 2n = 29n -99 + 29n = -2n + 6(7n + 11) Reorder the terms: -99 + 29n = -2n + 6(11 + 7n) -99 + 29n = -2n + (11 * 6 + 7n * 6) -99 + 29n = -2n + (66 + 42n) Reorder the terms: -99 + 29n = 66 + -2n + 42n Combine like terms: -2n + 42n = 40n -99 + 29n = 66 + 40n Solving -99 + 29n = 66 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -99 + 29n + -40n = 66 + 40n + -40n Combine like terms: 29n + -40n = -11n -99 + -11n = 66 + 40n + -40n Combine like terms: 40n + -40n = 0 -99 + -11n = 66 + 0 -99 + -11n = 66 Add '99' to each side of the equation. -99 + 99 + -11n = 66 + 99 Combine like terms: -99 + 99 = 0 0 + -11n = 66 + 99 -11n = 66 + 99 Combine like terms: 66 + 99 = 165 -11n = 165 Divide each side by '-11'. n = -15 Simplifying n = -15
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