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Simplifying 7(7n + 7) = -343 Reorder the terms: 7(7 + 7n) = -343 (7 * 7 + 7n * 7) = -343 (49 + 49n) = -343 Solving 49 + 49n = -343 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 + 49n = -343 + -49 Combine like terms: 49 + -49 = 0 0 + 49n = -343 + -49 49n = -343 + -49 Combine like terms: -343 + -49 = -392 49n = -392 Divide each side by '49'. n = -8 Simplifying n = -8
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