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Simplifying -7(7n + 1) + 7 = -343 Reorder the terms: -7(1 + 7n) + 7 = -343 (1 * -7 + 7n * -7) + 7 = -343 (-7 + -49n) + 7 = -343 Reorder the terms: -7 + 7 + -49n = -343 Combine like terms: -7 + 7 = 0 0 + -49n = -343 -49n = -343 Solving -49n = -343 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-49'. n = 7 Simplifying n = 7
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