1. **State the problem:** Simplify the algebraic expression $pq - 1 - p^2 + 5p - 5pq - 2p$. 2. **Group like terms:** Group terms involving $pq$, $p$, and constants separately: $$pq - 5pq - 1 - p^2 + 5p - 2p$$ 3. **Combine like terms:** - Combine $pq$ terms: $pq - 5pq = -4pq$ - Combine $p$ terms: $5p - 2p = 3p$ - Constants and other terms remain as is. 4. **Rewrite the expression:** $$-4pq - 1 - p^2 + 3p$$ 5. **Rearrange terms in standard polynomial order:** $$-p^2 - 4pq + 3p - 1$$ 6. **Final simplified expression:** $$\boxed{-p^2 - 4pq + 3p - 1}$$ This is the simplified form of the given expression.