Let's simplify the expression:  
\[
4p - 5q - p + 6 - 2q
\]

### Step-by-step:

1. **Group like terms:**
   - Terms with \(p\): \(4p - p\)
   - Terms with \(q\): \(-5q - 2q\)
   - Constant term: \(6\)

2. **Simplify each group:**
   - \(4p - p = 3p\)
   - \(-5q - 2q = -7q\)

3. **Combine the results:**
   \[ 
   3p - 7q + 6 
   \]

### Final simplified expression:
\[
3p - 7q + 6
\]

Would you like further steps or have any questions? 

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Here are some related questions for practice:  
1. Simplify \(2x + 3y - x - 2y + 5\).  
2. If \(p = 2\) and \(q = -1\), evaluate \(3p - 7q + 6\).  
3. Solve for \(p\) if \(3p - 7q + 6 = 0\).  
4. Expand and simplify \(2(4p - q) - (p + 2q)\).  
5. What happens if you change the signs of all terms in \(3p - 7q + 6\)?  

**Tip:** Always combine similar terms before dealing with constants or coefficients to avoid mistakes.

Learn how to simplify the algebraic expression 4p - 5q - p + 6 - 2q with a step-by-step solution. This problem focuses on combining like terms and basic algebraic simplification, suitable for students in Grades 6-8.

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