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Simplifying 4n + 22 = 2n + 38 Reorder the terms: 22 + 4n = 2n + 38 Reorder the terms: 22 + 4n = 38 + 2n Solving 22 + 4n = 38 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 22 + 4n + -2n = 38 + 2n + -2n Combine like terms: 4n + -2n = 2n 22 + 2n = 38 + 2n + -2n Combine like terms: 2n + -2n = 0 22 + 2n = 38 + 0 22 + 2n = 38 Add '-22' to each side of the equation. 22 + -22 + 2n = 38 + -22 Combine like terms: 22 + -22 = 0 0 + 2n = 38 + -22 2n = 38 + -22 Combine like terms: 38 + -22 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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