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Simplifying -1 + -7p = -7(p + 7) + -8p Reorder the terms: -1 + -7p = -7(7 + p) + -8p -1 + -7p = (7 * -7 + p * -7) + -8p -1 + -7p = (-49 + -7p) + -8p Combine like terms: -7p + -8p = -15p -1 + -7p = -49 + -15p Solving -1 + -7p = -49 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. -1 + -7p + 15p = -49 + -15p + 15p Combine like terms: -7p + 15p = 8p -1 + 8p = -49 + -15p + 15p Combine like terms: -15p + 15p = 0 -1 + 8p = -49 + 0 -1 + 8p = -49 Add '1' to each side of the equation. -1 + 1 + 8p = -49 + 1 Combine like terms: -1 + 1 = 0 0 + 8p = -49 + 1 8p = -49 + 1 Combine like terms: -49 + 1 = -48 8p = -48 Divide each side by '8'. p = -6 Simplifying p = -6
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