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Simplifying -7(-11 + -11n) = -6n + 3(11n + 9) (-11 * -7 + -11n * -7) = -6n + 3(11n + 9) (77 + 77n) = -6n + 3(11n + 9) Reorder the terms: 77 + 77n = -6n + 3(9 + 11n) 77 + 77n = -6n + (9 * 3 + 11n * 3) 77 + 77n = -6n + (27 + 33n) Reorder the terms: 77 + 77n = 27 + -6n + 33n Combine like terms: -6n + 33n = 27n 77 + 77n = 27 + 27n Solving 77 + 77n = 27 + 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. 77 + 77n + -27n = 27 + 27n + -27n Combine like terms: 77n + -27n = 50n 77 + 50n = 27 + 27n + -27n Combine like terms: 27n + -27n = 0 77 + 50n = 27 + 0 77 + 50n = 27 Add '-77' to each side of the equation. 77 + -77 + 50n = 27 + -77 Combine like terms: 77 + -77 = 0 0 + 50n = 27 + -77 50n = 27 + -77 Combine like terms: 27 + -77 = -50 50n = -50 Divide each side by '50'. n = -1 Simplifying n = -1
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