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Simplifying -3(2n + -6) + -2n = 82 Reorder the terms: -3(-6 + 2n) + -2n = 82 (-6 * -3 + 2n * -3) + -2n = 82 (18 + -6n) + -2n = 82 Combine like terms: -6n + -2n = -8n 18 + -8n = 82 Solving 18 + -8n = 82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -8n = 82 + -18 Combine like terms: 18 + -18 = 0 0 + -8n = 82 + -18 -8n = 82 + -18 Combine like terms: 82 + -18 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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