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Simplifying 7(p + 7) = 9 + -1p Reorder the terms: 7(7 + p) = 9 + -1p (7 * 7 + p * 7) = 9 + -1p (49 + 7p) = 9 + -1p Solving 49 + 7p = 9 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 49 + 7p + p = 9 + -1p + p Combine like terms: 7p + p = 8p 49 + 8p = 9 + -1p + p Combine like terms: -1p + p = 0 49 + 8p = 9 + 0 49 + 8p = 9 Add '-49' to each side of the equation. 49 + -49 + 8p = 9 + -49 Combine like terms: 49 + -49 = 0 0 + 8p = 9 + -49 8p = 9 + -49 Combine like terms: 9 + -49 = -40 8p = -40 Divide each side by '8'. p = -5 Simplifying p = -5
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