Sure, I can guide you through each calculation step-by-step.
1. [tex]\(-27 + (-7)\)[/tex]:
To add [tex]\(-27\)[/tex] and [tex]\(-7\)[/tex], you need to combine their values.
[tex]\[
-27 + (-7) = -34
\][/tex]
2. [tex]\(35 - 40\)[/tex]:
Start with [tex]\(35\)[/tex] and subtract [tex]\(40\)[/tex] from it.
[tex]\[
35 - 40 = -5
\][/tex]
3. [tex]\(14 - (-18)\)[/tex]:
When you subtract a negative number, it is the same as adding its positive counterpart.
[tex]\[
14 - (-18) = 14 + 18 = 32
\][/tex]
4. [tex]\(-29 - 31\)[/tex]:
To subtract [tex]\(31\)[/tex] from [tex]\(-29\)[/tex], combine their values.
[tex]\[
-29 - 31 = -60
\][/tex]
5. [tex]\(-7 - (-3)\)[/tex]:
When subtracting a negative number, add its positive counterpart.
[tex]\[
-7 - (-3) = -7 + 3 = -4
\][/tex]
Putting all the results together, you get:
[tex]\[
\begin{tabular}{|l|}
\hline
-27 + (-7) = -34 \\
\hline
35 - 40 = -5 \\
\hline
14 - (-18) = 32 \\
\hline
-29 - 31 = -60 \\
\hline
-7 - (-3) = -4 \\
\hline
\end{tabular}
\][/tex]
