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Simplifying 3(2n + 8) = 31 + -3n Reorder the terms: 3(8 + 2n) = 31 + -3n (8 * 3 + 2n * 3) = 31 + -3n (24 + 6n) = 31 + -3n Solving 24 + 6n = 31 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 24 + 6n + 3n = 31 + -3n + 3n Combine like terms: 6n + 3n = 9n 24 + 9n = 31 + -3n + 3n Combine like terms: -3n + 3n = 0 24 + 9n = 31 + 0 24 + 9n = 31 Add '-24' to each side of the equation. 24 + -24 + 9n = 31 + -24 Combine like terms: 24 + -24 = 0 0 + 9n = 31 + -24 9n = 31 + -24 Combine like terms: 31 + -24 = 7 9n = 7 Divide each side by '9'. n = 0.7777777778 Simplifying n = 0.7777777778
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