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Simplifying 12(n + 8) = (32 + 4n) Reorder the terms: 12(8 + n) = (32 + 4n) (8 * 12 + n * 12) = (32 + 4n) (96 + 12n) = (32 + 4n) Remove parenthesis around (32 + 4n) 96 + 12n = 32 + 4n Solving 96 + 12n = 32 + 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. 96 + 12n + -4n = 32 + 4n + -4n Combine like terms: 12n + -4n = 8n 96 + 8n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 96 + 8n = 32 + 0 96 + 8n = 32 Add '-96' to each side of the equation. 96 + -96 + 8n = 32 + -96 Combine like terms: 96 + -96 = 0 0 + 8n = 32 + -96 8n = 32 + -96 Combine like terms: 32 + -96 = -64 8n = -64 Divide each side by '8'. n = -8 Simplifying n = -8
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