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Simplifying -9(-11n + 8) + -5n = 6(2n + -12) Reorder the terms: -9(8 + -11n) + -5n = 6(2n + -12) (8 * -9 + -11n * -9) + -5n = 6(2n + -12) (-72 + 99n) + -5n = 6(2n + -12) Combine like terms: 99n + -5n = 94n -72 + 94n = 6(2n + -12) Reorder the terms: -72 + 94n = 6(-12 + 2n) -72 + 94n = (-12 * 6 + 2n * 6) -72 + 94n = (-72 + 12n) Add '72' to each side of the equation. -72 + 72 + 94n = -72 + 72 + 12n Combine like terms: -72 + 72 = 0 0 + 94n = -72 + 72 + 12n 94n = -72 + 72 + 12n Combine like terms: -72 + 72 = 0 94n = 0 + 12n 94n = 12n Solving 94n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 94n + -12n = 12n + -12n Combine like terms: 94n + -12n = 82n 82n = 12n + -12n Combine like terms: 12n + -12n = 0 82n = 0 Divide each side by '82'. n = 0 Simplifying n = 0
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