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Simplifying 7(7n + 7) + 3 = -30 + 8n Reorder the terms: 7(7 + 7n) + 3 = -30 + 8n (7 * 7 + 7n * 7) + 3 = -30 + 8n (49 + 49n) + 3 = -30 + 8n Reorder the terms: 49 + 3 + 49n = -30 + 8n Combine like terms: 49 + 3 = 52 52 + 49n = -30 + 8n Solving 52 + 49n = -30 + 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. 52 + 49n + -8n = -30 + 8n + -8n Combine like terms: 49n + -8n = 41n 52 + 41n = -30 + 8n + -8n Combine like terms: 8n + -8n = 0 52 + 41n = -30 + 0 52 + 41n = -30 Add '-52' to each side of the equation. 52 + -52 + 41n = -30 + -52 Combine like terms: 52 + -52 = 0 0 + 41n = -30 + -52 41n = -30 + -52 Combine like terms: -30 + -52 = -82 41n = -82 Divide each side by '41'. n = -2 Simplifying n = -2
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