Let's solve the equation step by step:

Given:

$35 - 5(p - 1) = 5$

Step 1: Distribute the $-5$ across the parentheses:

$35 - 5p + 5 = 5$ This simplifies to: $40 - 5p = 5$

Step 2: Isolate the variable $p$. Start by subtracting $40$ from both sides:

$-5p = 5 - 40$ $-5p = -35$

Step 3: Solve for $p$ by dividing both sides by $-5$:

$p = \frac{-35}{-5}$ $p = 7$

Thus, the solution is: $p = 7$

Would you like more details on the steps? Here are 5 related questions to consider:

1. How can you verify if a solution is correct for an equation?
2. What does it mean to "distribute" in algebraic equations?
3. How do you handle equations with multiple variables?
4. How can this equation be applied to real-life situations?
5. What happens if the variable $p$ had been a fraction or decimal?

Tip: Always check your solution by substituting it back into the original equation to ensure it's correct!