To simplify the expression $(4a - 2b) - (a + 5b)$, follow these steps:

1. Distribute the negative sign across the second set of parentheses: $(4a - 2b) - a - 5b$

2. Combine like terms:

   • For the $a$ terms: $4a - a = 3a$
   • For the $b$ terms: $-2b - 5b = -7b$

3. The simplified expression is: $3a - 7b$

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How would you simplify $(5x - 3y) - (2x + 4y)$?
2. What is the result of $(7p + 2q) - (3p - 5q)$?
3. Can you factor the expression $3a - 7b$ further?
4. What is the simplified form of $(2m - 4n) - (m + n)$?
5. How does changing the signs within the parentheses affect the final expression?

Tip: Always distribute the minus sign when subtracting expressions enclosed in parentheses to avoid sign errors.