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Simplifying 2(3 + 2n) + 5 = 31 (3 * 2 + 2n * 2) + 5 = 31 (6 + 4n) + 5 = 31 Reorder the terms: 6 + 5 + 4n = 31 Combine like terms: 6 + 5 = 11 11 + 4n = 31 Solving 11 + 4n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4n = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 4n = 31 + -11 4n = 31 + -11 Combine like terms: 31 + -11 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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