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Simplifying 9n + 2 = 5n + 22 Reorder the terms: 2 + 9n = 5n + 22 Reorder the terms: 2 + 9n = 22 + 5n Solving 2 + 9n = 22 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + 9n + -5n = 22 + 5n + -5n Combine like terms: 9n + -5n = 4n 2 + 4n = 22 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + 4n = 22 + 0 2 + 4n = 22 Add '-2' to each side of the equation. 2 + -2 + 4n = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 22 + -2 4n = 22 + -2 Combine like terms: 22 + -2 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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