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Simplifying 25 + 5n + -24 = 3n + 18 + 8n Reorder the terms: 25 + -24 + 5n = 3n + 18 + 8n Combine like terms: 25 + -24 = 1 1 + 5n = 3n + 18 + 8n Reorder the terms: 1 + 5n = 18 + 3n + 8n Combine like terms: 3n + 8n = 11n 1 + 5n = 18 + 11n Solving 1 + 5n = 18 + 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. 1 + 5n + -11n = 18 + 11n + -11n Combine like terms: 5n + -11n = -6n 1 + -6n = 18 + 11n + -11n Combine like terms: 11n + -11n = 0 1 + -6n = 18 + 0 1 + -6n = 18 Add '-1' to each side of the equation. 1 + -1 + -6n = 18 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 18 + -1 -6n = 18 + -1 Combine like terms: 18 + -1 = 17 -6n = 17 Divide each side by '-6'. n = -2.833333333 Simplifying n = -2.833333333
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