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Simplifying 2n + 2 + 6n + 4 = 84 Reorder the terms: 2 + 4 + 2n + 6n = 84 Combine like terms: 2 + 4 = 6 6 + 2n + 6n = 84 Combine like terms: 2n + 6n = 8n 6 + 8n = 84 Solving 6 + 8n = 84 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 + 8n = 84 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 84 + -6 8n = 84 + -6 Combine like terms: 84 + -6 = 78 8n = 78 Divide each side by '8'. n = 9.75 Simplifying n = 9.75
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