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Simplifying 8n + 2(2n + 2) = 8(3 + -1n) Reorder the terms: 8n + 2(2 + 2n) = 8(3 + -1n) 8n + (2 * 2 + 2n * 2) = 8(3 + -1n) 8n + (4 + 4n) = 8(3 + -1n) Reorder the terms: 4 + 8n + 4n = 8(3 + -1n) Combine like terms: 8n + 4n = 12n 4 + 12n = 8(3 + -1n) 4 + 12n = (3 * 8 + -1n * 8) 4 + 12n = (24 + -8n) Solving 4 + 12n = 24 + -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. 4 + 12n + 8n = 24 + -8n + 8n Combine like terms: 12n + 8n = 20n 4 + 20n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 4 + 20n = 24 + 0 4 + 20n = 24 Add '-4' to each side of the equation. 4 + -4 + 20n = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 20n = 24 + -4 20n = 24 + -4 Combine like terms: 24 + -4 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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