Sure! Let's solve the expression step by step.
We start with the given expression:
[tex]\[ 9 - [(-5) - (+7)] - \{ - [-4 + (-3 + 2) - (-4)] \} \][/tex]
1. First, simplify the innermost parenthesis inside the curly brackets:
[tex]\[ -3 + 2 = -1 \][/tex]
2. Next, substitute [tex]\(-1\)[/tex] back into the expression inside the curly brackets:
[tex]\[ -4 + (-1) - (-4) \][/tex]
Simplify inside the square brackets:
[tex]\[ -4 - 1 - (-4) = -4 - 1 + 4 = -1 \][/tex]
3. Now substitute [tex]\(-1\)[/tex] back into the expression:
[tex]\[ - (-1) = 1 \][/tex]
4. Simplify the expression inside the square brackets:
[tex]\[ (-5) - (+7) = -5 - 7 = -12 \][/tex]
5. Now we have:
[tex]\[ 9 - (-12) - 5 \][/tex]
6. Simplify the remaining steps:
[tex]\[ 9 + 12 - 5 = 21 - 5 = 16 \][/tex]
So, the final result of the expression is:
[tex]\[ \boxed{16} \][/tex]
