Alright, let's break down this mathematical expression step by step.
We have the expression:
[tex]\[ [-2 + (-12) \div (-4)] (-6) + \{8 - [11 - (9 + 1) \div (-2)] \div (-4)\} \][/tex]
### First Term: [tex]\([-2 + (-12) \div (-4)] (-6)\)[/tex]
1. Evaluate the division: [tex]\((-12) \div (-4)\)[/tex]
[tex]\[
= 3.0
\][/tex]
2. Add [tex]\(-2\)[/tex] to the result:
[tex]\[
-2 + 3.0
= 1.0
\][/tex]
3. Multiply by [tex]\(-6\)[/tex]:
[tex]\[
1.0 * (-6)
= -6.0
\][/tex]
### Second Term: [tex]\(\{8 - [11 - (9 + 1) \div (-2)] \div (-4)\}\)[/tex]
1. Evaluate the inner parentheses: [tex]\((9 + 1) \div (-2)\)[/tex]
[tex]\[
= 10 \div (-2)
= -5.0
\][/tex]
2. Subtract the result from 11:
[tex]\[
11 - (-5.0)
= 11 + 5.0
= 16.0
\][/tex]
3. Divide by [tex]\(-4\)[/tex]:
[tex]\[
16.0 \div (-4)
= -4.0
\][/tex]
4. Subtract the result from 8:
[tex]\[
8 - (-4.0)
= 8 + 4.0
= 12.0
\][/tex]
### Combine the Two Terms
Now, sum the results of the two terms:
[tex]\[
-6.0 + 12.0
= 6.0
\][/tex]
Thus, the result of the expression is:
[tex]\[
6
\][/tex]
