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Simplifying 2(2n + 11) = 31 + -3n Reorder the terms: 2(11 + 2n) = 31 + -3n (11 * 2 + 2n * 2) = 31 + -3n (22 + 4n) = 31 + -3n Solving 22 + 4n = 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. 22 + 4n + 3n = 31 + -3n + 3n Combine like terms: 4n + 3n = 7n 22 + 7n = 31 + -3n + 3n Combine like terms: -3n + 3n = 0 22 + 7n = 31 + 0 22 + 7n = 31 Add '-22' to each side of the equation. 22 + -22 + 7n = 31 + -22 Combine like terms: 22 + -22 = 0 0 + 7n = 31 + -22 7n = 31 + -22 Combine like terms: 31 + -22 = 9 7n = 9 Divide each side by '7'. n = 1.285714286 Simplifying n = 1.285714286
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