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Simplifying 6n + 10 = 82 + -2n Reorder the terms: 10 + 6n = 82 + -2n Solving 10 + 6n = 82 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 10 + 6n + 2n = 82 + -2n + 2n Combine like terms: 6n + 2n = 8n 10 + 8n = 82 + -2n + 2n Combine like terms: -2n + 2n = 0 10 + 8n = 82 + 0 10 + 8n = 82 Add '-10' to each side of the equation. 10 + -10 + 8n = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 8n = 82 + -10 8n = 82 + -10 Combine like terms: 82 + -10 = 72 8n = 72 Divide each side by '8'. n = 9 Simplifying n = 9
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