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Simplifying 8 + 9n + -2 = 5n + 24 + -2n Reorder the terms: 8 + -2 + 9n = 5n + 24 + -2n Combine like terms: 8 + -2 = 6 6 + 9n = 5n + 24 + -2n Reorder the terms: 6 + 9n = 24 + 5n + -2n Combine like terms: 5n + -2n = 3n 6 + 9n = 24 + 3n Solving 6 + 9n = 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. 6 + 9n + -3n = 24 + 3n + -3n Combine like terms: 9n + -3n = 6n 6 + 6n = 24 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 6n = 24 + 0 6 + 6n = 24 Add '-6' to each side of the equation. 6 + -6 + 6n = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 24 + -6 6n = 24 + -6 Combine like terms: 24 + -6 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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