To subtract the expressions \((-5a + 8)\) and \((-4a - 7)\), you can rewrite the expression like this:
\[ (-5a + 8) - (-4a - 7) \]
Next, distribute the negative sign across the second expression:
\[ -5a + 8 + 4a + 7 \]
Now, combine like terms:
- Combine the \(a\) terms: \(-5a + 4a = -a\)
- Combine the constant terms: \(8 + 7 = 15\)
Putting it all together, the expression simplifies to:
\[ -a + 15 \]
So, the final result is:
\[ -a + 15 \]