1. **State the problem:** Solve the equation $45 - p = 32$ for $p$. 2. **Formula and rules:** To isolate $p$, we use the rule of adding or subtracting the same value on both sides of the equation to keep it balanced. 3. **Step-by-step solution:** - Start with the equation: $45 - p = 32$ - Subtract 45 from both sides: $45 - p - 45 = 32 - 45$ - Simplify both sides: $-p = -13$ - Multiply both sides by $-1$ to solve for $p$: $p = 13$ 4. **Answer:** The value of $p$ is $13$. This means if you subtract 13 from 45, you get 32, which satisfies the original equation.