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, $(a - 4) - (b + 3) = -4$.

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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!