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Simplifying -8 = -7(7p + -5) + -1p + 7p Reorder the terms: -8 = -7(-5 + 7p) + -1p + 7p -8 = (-5 * -7 + 7p * -7) + -1p + 7p -8 = (35 + -49p) + -1p + 7p Combine like terms: -49p + -1p = -50p -8 = 35 + -50p + 7p Combine like terms: -50p + 7p = -43p -8 = 35 + -43p Solving -8 = 35 + -43p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '43p' to each side of the equation. -8 + 43p = 35 + -43p + 43p Combine like terms: -43p + 43p = 0 -8 + 43p = 35 + 0 -8 + 43p = 35 Add '8' to each side of the equation. -8 + 8 + 43p = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 43p = 35 + 8 43p = 35 + 8 Combine like terms: 35 + 8 = 43 43p = 43 Divide each side by '43'. p = 1 Simplifying p = 1
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