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Simplifying -343 = -7(7n + 7) Reorder the terms: -343 = -7(7 + 7n) -343 = (7 * -7 + 7n * -7) -343 = (-49 + -49n) Solving -343 = -49 + -49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49n' to each side of the equation. -343 + 49n = -49 + -49n + 49n Combine like terms: -49n + 49n = 0 -343 + 49n = -49 + 0 -343 + 49n = -49 Add '343' to each side of the equation. -343 + 343 + 49n = -49 + 343 Combine like terms: -343 + 343 = 0 0 + 49n = -49 + 343 49n = -49 + 343 Combine like terms: -49 + 343 = 294 49n = 294 Divide each side by '49'. n = 6 Simplifying n = 6
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