1. **State the problem:** Solve the equation $p - 1 = 5p + 3p - 8$ for $p$. 2. **Write down the equation:** $$p - 1 = 5p + 3p - 8$$ 3. **Combine like terms on the right side:** $$5p + 3p = 8p$$ So the equation becomes: $$p - 1 = 8p - 8$$ 4. **Bring all terms involving $p$ to one side and constants to the other:** Subtract $p$ from both sides: $$p - 1 - p = 8p - 8 - p$$ Simplifies to: $$-1 = 7p - 8$$ 5. **Add 8 to both sides to isolate the term with $p$:** $$-1 + 8 = 7p - 8 + 8$$ $$7 = 7p$$ 6. **Divide both sides by 7 to solve for $p$:** $$p = \frac{7}{7} = 1$$ **Final answer:** $$p = 1$$