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Simplifying -9(-3n + -8) = 3(n + -6) + -6 Reorder the terms: -9(-8 + -3n) = 3(n + -6) + -6 (-8 * -9 + -3n * -9) = 3(n + -6) + -6 (72 + 27n) = 3(n + -6) + -6 Reorder the terms: 72 + 27n = 3(-6 + n) + -6 72 + 27n = (-6 * 3 + n * 3) + -6 72 + 27n = (-18 + 3n) + -6 Reorder the terms: 72 + 27n = -18 + -6 + 3n Combine like terms: -18 + -6 = -24 72 + 27n = -24 + 3n Solving 72 + 27n = -24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 72 + 27n + -3n = -24 + 3n + -3n Combine like terms: 27n + -3n = 24n 72 + 24n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 72 + 24n = -24 + 0 72 + 24n = -24 Add '-72' to each side of the equation. 72 + -72 + 24n = -24 + -72 Combine like terms: 72 + -72 = 0 0 + 24n = -24 + -72 24n = -24 + -72 Combine like terms: -24 + -72 = -96 24n = -96 Divide each side by '24'. n = -4 Simplifying n = -4
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