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Simplifying 2(8 + 3n) = 31 + n (8 * 2 + 3n * 2) = 31 + n (16 + 6n) = 31 + n Solving 16 + 6n = 31 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 16 + 6n + -1n = 31 + n + -1n Combine like terms: 6n + -1n = 5n 16 + 5n = 31 + n + -1n Combine like terms: n + -1n = 0 16 + 5n = 31 + 0 16 + 5n = 31 Add '-16' to each side of the equation. 16 + -16 + 5n = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 5n = 31 + -16 5n = 31 + -16 Combine like terms: 31 + -16 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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