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Simplifying 343 = 7(8n + -7) Reorder the terms: 343 = 7(-7 + 8n) 343 = (-7 * 7 + 8n * 7) 343 = (-49 + 56n) Solving 343 = -49 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 343 + -56n = -49 + 56n + -56n Combine like terms: 56n + -56n = 0 343 + -56n = -49 + 0 343 + -56n = -49 Add '-343' to each side of the equation. 343 + -343 + -56n = -49 + -343 Combine like terms: 343 + -343 = 0 0 + -56n = -49 + -343 -56n = -49 + -343 Combine like terms: -49 + -343 = -392 -56n = -392 Divide each side by '-56'. n = 7 Simplifying n = 7
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