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Simplifying 2n + 2(n + 8) = 36 Reorder the terms: 2n + 2(8 + n) = 36 2n + (8 * 2 + n * 2) = 36 2n + (16 + 2n) = 36 Reorder the terms: 16 + 2n + 2n = 36 Combine like terms: 2n + 2n = 4n 16 + 4n = 36 Solving 16 + 4n = 36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4n = 36 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = 36 + -16 4n = 36 + -16 Combine like terms: 36 + -16 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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