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Simplifying 4(2n + 4) + -4 = 4(n + 6) Reorder the terms: 4(4 + 2n) + -4 = 4(n + 6) (4 * 4 + 2n * 4) + -4 = 4(n + 6) (16 + 8n) + -4 = 4(n + 6) Reorder the terms: 16 + -4 + 8n = 4(n + 6) Combine like terms: 16 + -4 = 12 12 + 8n = 4(n + 6) Reorder the terms: 12 + 8n = 4(6 + n) 12 + 8n = (6 * 4 + n * 4) 12 + 8n = (24 + 4n) Solving 12 + 8n = 24 + 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. 12 + 8n + -4n = 24 + 4n + -4n Combine like terms: 8n + -4n = 4n 12 + 4n = 24 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 4n = 24 + 0 12 + 4n = 24 Add '-12' to each side of the equation. 12 + -12 + 4n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 24 + -12 4n = 24 + -12 Combine like terms: 24 + -12 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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