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Simplifying -7(-1 + 11n) = -9(9n + -7) (-1 * -7 + 11n * -7) = -9(9n + -7) (7 + -77n) = -9(9n + -7) Reorder the terms: 7 + -77n = -9(-7 + 9n) 7 + -77n = (-7 * -9 + 9n * -9) 7 + -77n = (63 + -81n) Solving 7 + -77n = 63 + -81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '81n' to each side of the equation. 7 + -77n + 81n = 63 + -81n + 81n Combine like terms: -77n + 81n = 4n 7 + 4n = 63 + -81n + 81n Combine like terms: -81n + 81n = 0 7 + 4n = 63 + 0 7 + 4n = 63 Add '-7' to each side of the equation. 7 + -7 + 4n = 63 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 63 + -7 4n = 63 + -7 Combine like terms: 63 + -7 = 56 4n = 56 Divide each side by '4'. n = 14 Simplifying n = 14
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