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Simplifying 6 + 4(n + 2) = 8n + 2 Reorder the terms: 6 + 4(2 + n) = 8n + 2 6 + (2 * 4 + n * 4) = 8n + 2 6 + (8 + 4n) = 8n + 2 Combine like terms: 6 + 8 = 14 14 + 4n = 8n + 2 Reorder the terms: 14 + 4n = 2 + 8n Solving 14 + 4n = 2 + 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. 14 + 4n + -8n = 2 + 8n + -8n Combine like terms: 4n + -8n = -4n 14 + -4n = 2 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -4n = 2 + 0 14 + -4n = 2 Add '-14' to each side of the equation. 14 + -14 + -4n = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 2 + -14 -4n = 2 + -14 Combine like terms: 2 + -14 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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