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Simplifying 4n + 23 = 2n + 31 Reorder the terms: 23 + 4n = 2n + 31 Reorder the terms: 23 + 4n = 31 + 2n Solving 23 + 4n = 31 + 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. 23 + 4n + -2n = 31 + 2n + -2n Combine like terms: 4n + -2n = 2n 23 + 2n = 31 + 2n + -2n Combine like terms: 2n + -2n = 0 23 + 2n = 31 + 0 23 + 2n = 31 Add '-23' to each side of the equation. 23 + -23 + 2n = 31 + -23 Combine like terms: 23 + -23 = 0 0 + 2n = 31 + -23 2n = 31 + -23 Combine like terms: 31 + -23 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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