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Simplifying -1(1 + 11n) = -10(8 + 9n) (1 * -1 + 11n * -1) = -10(8 + 9n) (-1 + -11n) = -10(8 + 9n) -1 + -11n = (8 * -10 + 9n * -10) -1 + -11n = (-80 + -90n) Solving -1 + -11n = -80 + -90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '90n' to each side of the equation. -1 + -11n + 90n = -80 + -90n + 90n Combine like terms: -11n + 90n = 79n -1 + 79n = -80 + -90n + 90n Combine like terms: -90n + 90n = 0 -1 + 79n = -80 + 0 -1 + 79n = -80 Add '1' to each side of the equation. -1 + 1 + 79n = -80 + 1 Combine like terms: -1 + 1 = 0 0 + 79n = -80 + 1 79n = -80 + 1 Combine like terms: -80 + 1 = -79 79n = -79 Divide each side by '79'. n = -1 Simplifying n = -1
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