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Simplifying -11(1 + -4n) = 11(11 + 8n) (1 * -11 + -4n * -11) = 11(11 + 8n) (-11 + 44n) = 11(11 + 8n) -11 + 44n = (11 * 11 + 8n * 11) -11 + 44n = (121 + 88n) Solving -11 + 44n = 121 + 88n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-88n' to each side of the equation. -11 + 44n + -88n = 121 + 88n + -88n Combine like terms: 44n + -88n = -44n -11 + -44n = 121 + 88n + -88n Combine like terms: 88n + -88n = 0 -11 + -44n = 121 + 0 -11 + -44n = 121 Add '11' to each side of the equation. -11 + 11 + -44n = 121 + 11 Combine like terms: -11 + 11 = 0 0 + -44n = 121 + 11 -44n = 121 + 11 Combine like terms: 121 + 11 = 132 -44n = 132 Divide each side by '-44'. n = -3 Simplifying n = -3
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