1. **State the problem:** Solve the equation $5p + 5 = 4 + 4p$ for $p$. 2. **Formula and rules:** To solve linear equations, we isolate the variable on one side by performing the same operations on both sides. 3. **Step-by-step solution:** - Subtract $4p$ from both sides: $$5p + 5 - 4p = 4 + 4p - 4p$$ $$p + 5 = 4$$ - Subtract 5 from both sides: $$p + 5 - 5 = 4 - 5$$ $$p = -1$$ 4. **Answer:** The solution to the equation is $p = -1$. This means when $p$ is $-1$, both sides of the original equation are equal.