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Simplifying 9 + 5n + -1 = 5n + 14 + -2n Reorder the terms: 9 + -1 + 5n = 5n + 14 + -2n Combine like terms: 9 + -1 = 8 8 + 5n = 5n + 14 + -2n Reorder the terms: 8 + 5n = 14 + 5n + -2n Combine like terms: 5n + -2n = 3n 8 + 5n = 14 + 3n Solving 8 + 5n = 14 + 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. 8 + 5n + -3n = 14 + 3n + -3n Combine like terms: 5n + -3n = 2n 8 + 2n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + 2n = 14 + 0 8 + 2n = 14 Add '-8' to each side of the equation. 8 + -8 + 2n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 14 + -8 2n = 14 + -8 Combine like terms: 14 + -8 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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