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Simplifying -7p + 8(p + -7) = 7 + -8p Reorder the terms: -7p + 8(-7 + p) = 7 + -8p -7p + (-7 * 8 + p * 8) = 7 + -8p -7p + (-56 + 8p) = 7 + -8p Reorder the terms: -56 + -7p + 8p = 7 + -8p Combine like terms: -7p + 8p = 1p -56 + 1p = 7 + -8p Solving -56 + 1p = 7 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -56 + 1p + 8p = 7 + -8p + 8p Combine like terms: 1p + 8p = 9p -56 + 9p = 7 + -8p + 8p Combine like terms: -8p + 8p = 0 -56 + 9p = 7 + 0 -56 + 9p = 7 Add '56' to each side of the equation. -56 + 56 + 9p = 7 + 56 Combine like terms: -56 + 56 = 0 0 + 9p = 7 + 56 9p = 7 + 56 Combine like terms: 7 + 56 = 63 9p = 63 Divide each side by '9'. p = 7 Simplifying p = 7
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