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Simplifying 2(8 + 6n) = 8(n + 8) (8 * 2 + 6n * 2) = 8(n + 8) (16 + 12n) = 8(n + 8) Reorder the terms: 16 + 12n = 8(8 + n) 16 + 12n = (8 * 8 + n * 8) 16 + 12n = (64 + 8n) Solving 16 + 12n = 64 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 16 + 12n + -8n = 64 + 8n + -8n Combine like terms: 12n + -8n = 4n 16 + 4n = 64 + 8n + -8n Combine like terms: 8n + -8n = 0 16 + 4n = 64 + 0 16 + 4n = 64 Add '-16' to each side of the equation. 16 + -16 + 4n = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = 64 + -16 4n = 64 + -16 Combine like terms: 64 + -16 = 48 4n = 48 Divide each side by '4'. n = 12 Simplifying n = 12
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