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Simplifying 9(n + 9) + 2 = 8n Reorder the terms: 9(9 + n) + 2 = 8n (9 * 9 + n * 9) + 2 = 8n (81 + 9n) + 2 = 8n Reorder the terms: 81 + 2 + 9n = 8n Combine like terms: 81 + 2 = 83 83 + 9n = 8n Solving 83 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 83 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n 83 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 83 + 1n = 0 Add '-83' to each side of the equation. 83 + -83 + 1n = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 1n = 0 + -83 1n = 0 + -83 Combine like terms: 0 + -83 = -83 1n = -83 Divide each side by '1'. n = -83 Simplifying n = -83
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