Let's break down the given expression step by step and determine the results for each part. The expression is:
[tex]\[
14 - 20 - 30 - (94 - 85 - 87 - 4) - 19 - 29
\][/tex]
### Step-by-Step Solution
1. Evaluate the innermost parenthesis first:
[tex]\[
94 - 85 - 87 - 4
\][/tex]
2. Calculating inside the parenthesis step-by-step:
[tex]\[
94 - 85 = 9
\][/tex]
Then:
[tex]\[
9 - 87 = -78
\][/tex]
Finally:
[tex]\[
-78 - 4 = -82
\][/tex]
3. Substitute the result of the parenthesis back into the main expression:
[tex]\[
14 - 20 - 30 - (-82) - 19 - 29
\][/tex]
4. Simplify the equation by removing the parenthesis (note that subtracting a negative is equivalent to addition):
[tex]\[
14 - 20 - 30 + 82 - 19 - 29
\][/tex]
5. Perform addition and subtraction from left to right:
[tex]\[
14 - 20 = -6
\][/tex]
Next:
[tex]\[
-6 - 30 = -36
\][/tex]
Then:
[tex]\[
-36 + 82 = 46
\][/tex]
Followed by:
[tex]\[
46 - 19 = 27
\][/tex]
Finally:
[tex]\[
27 - 29 = -2
\][/tex]
The result for the first part is [tex]\(-2\)[/tex].
Next, we have the comparison involving two sides, but no further operations are performed on that side. Thus directly giving the results:
[tex]\[
26 - 39 - 21 = -34
\][/tex]
[tex]\[
16 - 16 - 27 - 31 - 99 - 13 = -170
\][/tex]
Thus, the full simplified results are:
[tex]\[
14 - 20 - 30 - (94 - 85 - 87 - 4) - 19 - 29 = -2
\][/tex]
[tex]\[
26 - 39 - 21 = -34
\][/tex]
[tex]\[
16 - 16 - 27 - 31 - 99 - 13 = -170
\][/tex]
This means that the given expression simplifies to [tex]\((-2, -34, -170)\)[/tex].
