Let's solve the equation:

\[
5p - 4(p + 3) = 17
\]

1. **Distribute** the \(-4\) across the terms inside the parentheses:
   \[
   5p - 4p - 12 = 17
   \]

2. **Combine like terms** on the left side:
   \[
   (5p - 4p) - 12 = 17
   \]
   \[
   p - 12 = 17
   \]

3. **Isolate** \( p \) by adding 12 to both sides:
   \[
   p = 29
   \]

So, the solution is:
\[
p = 29
\]

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How would you solve a similar equation with different coefficients, like \(6p - 3(p + 4) = 20\)?
2. What happens if there are fractions in the equation, such as \( \frac{5p}{2} - 4(p + 3) = 17\)?
3. How would you solve an equation if the variable \(p\) appeared on both sides?
4. How can you check if your solution to the equation is correct?
5. What methods are there to simplify equations before solving?

**Tip:** Always combine like terms and simplify each side of the equation as much as possible before isolating the variable.

Learn how to solve the linear equation 5p - 4(p + 3) = 17 using algebraic techniques such as the distributive property and combining like terms. This step-by-step guide is suitable for students in Grades 7-9.

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