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Simplifying -7(8n + 7) = 343 Reorder the terms: -7(7 + 8n) = 343 (7 * -7 + 8n * -7) = 343 (-49 + -56n) = 343 Solving -49 + -56n = 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 + -56n = 343 + 49 Combine like terms: -49 + 49 = 0 0 + -56n = 343 + 49 -56n = 343 + 49 Combine like terms: 343 + 49 = 392 -56n = 392 Divide each side by '-56'. n = -7 Simplifying n = -7
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