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Simplifying n + 8 + 2(n + 4) = 64 Reorder the terms: n + 8 + 2(4 + n) = 64 n + 8 + (4 * 2 + n * 2) = 64 n + 8 + (8 + 2n) = 64 Reorder the terms: 8 + 8 + n + 2n = 64 Combine like terms: 8 + 8 = 16 16 + n + 2n = 64 Combine like terms: n + 2n = 3n 16 + 3n = 64 Solving 16 + 3n = 64 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 + 3n = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 3n = 64 + -16 3n = 64 + -16 Combine like terms: 64 + -16 = 48 3n = 48 Divide each side by '3'. n = 16 Simplifying n = 16
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