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Simplifying 8(n + 8) = 11n Reorder the terms: 8(8 + n) = 11n (8 * 8 + n * 8) = 11n (64 + 8n) = 11n Solving 64 + 8n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 64 + 8n + -11n = 11n + -11n Combine like terms: 8n + -11n = -3n 64 + -3n = 11n + -11n Combine like terms: 11n + -11n = 0 64 + -3n = 0 Add '-64' to each side of the equation. 64 + -64 + -3n = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -3n = 0 + -64 -3n = 0 + -64 Combine like terms: 0 + -64 = -64 -3n = -64 Divide each side by '-3'. n = 21.33333333 Simplifying n = 21.33333333
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