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Simplifying -2n + 6 + 8n = 78 Reorder the terms: 6 + -2n + 8n = 78 Combine like terms: -2n + 8n = 6n 6 + 6n = 78 Solving 6 + 6n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6n = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 78 + -6 6n = 78 + -6 Combine like terms: 78 + -6 = 72 6n = 72 Divide each side by '6'. n = 12 Simplifying n = 12
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