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Simplifying -8(5n + 9) = 11n Reorder the terms: -8(9 + 5n) = 11n (9 * -8 + 5n * -8) = 11n (-72 + -40n) = 11n Solving -72 + -40n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -72 + -40n + -11n = 11n + -11n Combine like terms: -40n + -11n = -51n -72 + -51n = 11n + -11n Combine like terms: 11n + -11n = 0 -72 + -51n = 0 Add '72' to each side of the equation. -72 + 72 + -51n = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -51n = 0 + 72 -51n = 0 + 72 Combine like terms: 0 + 72 = 72 -51n = 72 Divide each side by '-51'. n = -1.411764706 Simplifying n = -1.411764706
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