Certainly! Let's solve the expression step-by-step.
We need to evaluate the expression:
[tex]$15(-5) + (+3) + (-2) + (-7)$[/tex]
1. First, let's calculate [tex]\( 15 \times (-5) \)[/tex]:
[tex]\[
15 \times (-5) = -75
\][/tex]
So after the first step, we have:
[tex]\[
-75
\][/tex]
2. Next, we add [tex]\( +3 \)[/tex] to the result:
[tex]\[
-75 + 3
\][/tex]
Adding 3 to -75, we get:
[tex]\[
-72
\][/tex]
So after the second step, we have:
[tex]\[
-72
\][/tex]
3. Now, we add [tex]\( -2 \)[/tex] to the result:
[tex]\[
-72 + (-2)
\][/tex]
Adding -2 to -72, we get:
[tex]\[
-74
\][/tex]
So after the third step, we have:
[tex]\[
-74
\][/tex]
4. Finally, we add [tex]\( -7 \)[/tex] to the result:
[tex]\[
-74 + (-7)
\][/tex]
Adding -7 to -74, we get:
[tex]\[
-81
\][/tex]
So after the final step, we have:
[tex]\[
-81
\][/tex]
Therefore, the value of the expression [tex]\( 15(-5) + (+3) + (-2) + (-7) \)[/tex] is:
[tex]\[
\boxed{-81}
\][/tex]
