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Simplifying 4n + 18 = 2n + 38 Reorder the terms: 18 + 4n = 2n + 38 Reorder the terms: 18 + 4n = 38 + 2n Solving 18 + 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. 18 + 4n + -2n = 38 + 2n + -2n Combine like terms: 4n + -2n = 2n 18 + 2n = 38 + 2n + -2n Combine like terms: 2n + -2n = 0 18 + 2n = 38 + 0 18 + 2n = 38 Add '-18' to each side of the equation. 18 + -18 + 2n = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = 38 + -18 2n = 38 + -18 Combine like terms: 38 + -18 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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