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Simplifying 9(5n + 8) = 9n + 86 Reorder the terms: 9(8 + 5n) = 9n + 86 (8 * 9 + 5n * 9) = 9n + 86 (72 + 45n) = 9n + 86 Reorder the terms: 72 + 45n = 86 + 9n Solving 72 + 45n = 86 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 72 + 45n + -9n = 86 + 9n + -9n Combine like terms: 45n + -9n = 36n 72 + 36n = 86 + 9n + -9n Combine like terms: 9n + -9n = 0 72 + 36n = 86 + 0 72 + 36n = 86 Add '-72' to each side of the equation. 72 + -72 + 36n = 86 + -72 Combine like terms: 72 + -72 = 0 0 + 36n = 86 + -72 36n = 86 + -72 Combine like terms: 86 + -72 = 14 36n = 14 Divide each side by '36'. n = 0.3888888889 Simplifying n = 0.3888888889
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