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Simplifying 5n + n + 14 = 3n + 22 Reorder the terms: 14 + 5n + n = 3n + 22 Combine like terms: 5n + n = 6n 14 + 6n = 3n + 22 Reorder the terms: 14 + 6n = 22 + 3n Solving 14 + 6n = 22 + 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. 14 + 6n + -3n = 22 + 3n + -3n Combine like terms: 6n + -3n = 3n 14 + 3n = 22 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + 3n = 22 + 0 14 + 3n = 22 Add '-14' to each side of the equation. 14 + -14 + 3n = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 22 + -14 3n = 22 + -14 Combine like terms: 22 + -14 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667
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