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Simplifying 2n(6) + 6 = 2(4n) + 8 Reorder the terms for easier multiplication: 2 * 6n + 6 = 2(4n) + 8 Multiply 2 * 6 12n + 6 = 2(4n) + 8 Reorder the terms: 6 + 12n = 2(4n) + 8 Remove parenthesis around (4n) 6 + 12n = 2 * 4n + 8 Multiply 2 * 4 6 + 12n = 8n + 8 Reorder the terms: 6 + 12n = 8 + 8n Solving 6 + 12n = 8 + 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. 6 + 12n + -8n = 8 + 8n + -8n Combine like terms: 12n + -8n = 4n 6 + 4n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + 4n = 8 + 0 6 + 4n = 8 Add '-6' to each side of the equation. 6 + -6 + 4n = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 8 + -6 4n = 8 + -6 Combine like terms: 8 + -6 = 2 4n = 2 Divide each side by '4'. n = 0.5 Simplifying n = 0.5
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