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Simplifying 9n + 12(6 + -7n) = -8(12 + 12n) 9n + (6 * 12 + -7n * 12) = -8(12 + 12n) 9n + (72 + -84n) = -8(12 + 12n) Reorder the terms: 72 + 9n + -84n = -8(12 + 12n) Combine like terms: 9n + -84n = -75n 72 + -75n = -8(12 + 12n) 72 + -75n = (12 * -8 + 12n * -8) 72 + -75n = (-96 + -96n) Solving 72 + -75n = -96 + -96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '96n' to each side of the equation. 72 + -75n + 96n = -96 + -96n + 96n Combine like terms: -75n + 96n = 21n 72 + 21n = -96 + -96n + 96n Combine like terms: -96n + 96n = 0 72 + 21n = -96 + 0 72 + 21n = -96 Add '-72' to each side of the equation. 72 + -72 + 21n = -96 + -72 Combine like terms: 72 + -72 = 0 0 + 21n = -96 + -72 21n = -96 + -72 Combine like terms: -96 + -72 = -168 21n = -168 Divide each side by '21'. n = -8 Simplifying n = -8
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