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Simplifying -8 + 9(12n + -4) = 2n + 11(11 + 11n) Reorder the terms: -8 + 9(-4 + 12n) = 2n + 11(11 + 11n) -8 + (-4 * 9 + 12n * 9) = 2n + 11(11 + 11n) -8 + (-36 + 108n) = 2n + 11(11 + 11n) Combine like terms: -8 + -36 = -44 -44 + 108n = 2n + 11(11 + 11n) -44 + 108n = 2n + (11 * 11 + 11n * 11) -44 + 108n = 2n + (121 + 121n) Reorder the terms: -44 + 108n = 121 + 2n + 121n Combine like terms: 2n + 121n = 123n -44 + 108n = 121 + 123n Solving -44 + 108n = 121 + 123n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-123n' to each side of the equation. -44 + 108n + -123n = 121 + 123n + -123n Combine like terms: 108n + -123n = -15n -44 + -15n = 121 + 123n + -123n Combine like terms: 123n + -123n = 0 -44 + -15n = 121 + 0 -44 + -15n = 121 Add '44' to each side of the equation. -44 + 44 + -15n = 121 + 44 Combine like terms: -44 + 44 = 0 0 + -15n = 121 + 44 -15n = 121 + 44 Combine like terms: 121 + 44 = 165 -15n = 165 Divide each side by '-15'. n = -11 Simplifying n = -11
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