Let's work through the expression step by step: [tex]\((5 + -14) - 6 - 2\)[/tex].
1. First step: [tex]\(5 + -14\)[/tex]
- Adding 5 to -14 gives us [tex]\(-9\)[/tex].
So, the expression now becomes:
[tex]\[
(-9) - 6 - 2
\][/tex]
2. Second step: [tex]\(-9 - 6\)[/tex]
- Subtracting 6 from -9 yields [tex]\(-15\)[/tex].
Now, the expression is:
[tex]\[
-15 - 2
\][/tex]
3. Third step: [tex]\(-15 - 2\)[/tex]
- Subtracting 2 from -15 results in [tex]\(-17\)[/tex].
So, the final result is:
[tex]\[
-17
\][/tex]
To summarize, the intermediate steps are:
1. [tex]\(5 + -14 = -9\)[/tex]
2. [tex]\(-9 - 6 = -15\)[/tex]
3. [tex]\(-15 - 2 = -17\)[/tex]
Thus, the final answer is [tex]\(-17\)[/tex].
