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Simplifying -6n + 7(2n + 7) = 97 Reorder the terms: -6n + 7(7 + 2n) = 97 -6n + (7 * 7 + 2n * 7) = 97 -6n + (49 + 14n) = 97 Reorder the terms: 49 + -6n + 14n = 97 Combine like terms: -6n + 14n = 8n 49 + 8n = 97 Solving 49 + 8n = 97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 8n = 97 + -49 Combine like terms: 49 + -49 = 0 0 + 8n = 97 + -49 8n = 97 + -49 Combine like terms: 97 + -49 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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