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Simplifying -343 = 7 + -7(8p + 2) Reorder the terms: -343 = 7 + -7(2 + 8p) -343 = 7 + (2 * -7 + 8p * -7) -343 = 7 + (-14 + -56p) Combine like terms: 7 + -14 = -7 -343 = -7 + -56p Solving -343 = -7 + -56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56p' to each side of the equation. -343 + 56p = -7 + -56p + 56p Combine like terms: -56p + 56p = 0 -343 + 56p = -7 + 0 -343 + 56p = -7 Add '343' to each side of the equation. -343 + 343 + 56p = -7 + 343 Combine like terms: -343 + 343 = 0 0 + 56p = -7 + 343 56p = -7 + 343 Combine like terms: -7 + 343 = 336 56p = 336 Divide each side by '56'. p = 6 Simplifying p = 6
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