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Simplifying (3n + 8) * 9 = 0 Reorder the terms: (8 + 3n) * 9 = 0 Reorder the terms for easier multiplication: 9(8 + 3n) = 0 (8 * 9 + 3n * 9) = 0 (72 + 27n) = 0 Solving 72 + 27n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 27n = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 27n = 0 + -72 27n = 0 + -72 Combine like terms: 0 + -72 = -72 27n = -72 Divide each side by '27'. n = -2.666666667 Simplifying n = -2.666666667
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