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Simplifying 12(n + 2) = (8 + 4n) Reorder the terms: 12(2 + n) = (8 + 4n) (2 * 12 + n * 12) = (8 + 4n) (24 + 12n) = (8 + 4n) Remove parenthesis around (8 + 4n) 24 + 12n = 8 + 4n Solving 24 + 12n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 24 + 12n + -4n = 8 + 4n + -4n Combine like terms: 12n + -4n = 8n 24 + 8n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + 8n = 8 + 0 24 + 8n = 8 Add '-24' to each side of the equation. 24 + -24 + 8n = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 8 + -24 8n = 8 + -24 Combine like terms: 8 + -24 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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