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Simplifying 8n + 2(2n + 8) = 112 Reorder the terms: 8n + 2(8 + 2n) = 112 8n + (8 * 2 + 2n * 2) = 112 8n + (16 + 4n) = 112 Reorder the terms: 16 + 8n + 4n = 112 Combine like terms: 8n + 4n = 12n 16 + 12n = 112 Solving 16 + 12n = 112 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 + 12n = 112 + -16 Combine like terms: 16 + -16 = 0 0 + 12n = 112 + -16 12n = 112 + -16 Combine like terms: 112 + -16 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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