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Simplifying 7(p + 7) = 49 + -1p Reorder the terms: 7(7 + p) = 49 + -1p (7 * 7 + p * 7) = 49 + -1p (49 + 7p) = 49 + -1p Add '-49' to each side of the equation. 49 + -49 + 7p = 49 + -49 + -1p Combine like terms: 49 + -49 = 0 0 + 7p = 49 + -49 + -1p 7p = 49 + -49 + -1p Combine like terms: 49 + -49 = 0 7p = 0 + -1p 7p = -1p Solving 7p = -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. 7p + p = -1p + p Combine like terms: 7p + p = 8p 8p = -1p + p Combine like terms: -1p + p = 0 8p = 0 Divide each side by '8'. p = 0 Simplifying p = 0
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