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