Given that \( a - b = 3 \), we need to find the value of \( (a - 4) - (b + 3) \).

Start by simplifying the expression:
\[
(a - 4) - (b + 3) = a - 4 - b - 3 = (a - b) - 7
\]
Since \( a - b = 3 \), substitute this into the equation:
\[
(a - b) - 7 = 3 - 7 = -4
\]

Thus, \( (a - 4) - (b + 3) = -4 \).

Would you like any further details on this solution?

Here are 5 related questions to explore:
1. What is the value of \( a + b \) if \( a - b = 3 \) and \( a = 7 \)?
2. How do you solve for \( a \) and \( b \) individually given \( a - b = 3 \) and another equation involving \( a \) and \( b \)?
3. What is the result of \( (b + 4) - (a - 3) \) given \( a - b = 3 \)?
4. If \( a - b = 3 \), what is the value of \( (2a - 8) - (2b + 6) \)?
5. What is the value of \( a - 2b \) if \( a - b = 3 \)?

**Tip:** When simplifying expressions, always group similar terms to make substitution easier!

Learn how to simplify the expression (a-4) - (b+3) when a-b=3. This problem demonstrates basic algebraic techniques like equation simplification and substitution. Ideal for students in Grades 6-8.

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