To solve the equation [tex]\((-8) + \left(\_\right) = -17\)[/tex], we need to determine the value that makes this equation true.
Let's denote the blank with [tex]\(x\)[/tex]. So, the equation becomes:
[tex]\[
(-8) + x = -17
\][/tex]
Our goal is to isolate [tex]\(x\)[/tex]. To do this, we can subtract [tex]\(-8\)[/tex] from both sides of the equation:
[tex]\[
(-8) + x - (-8) = -17 - (-8)
\][/tex]
Simplifying this, we have:
[tex]\[
x = -17 - (-8)
\][/tex]
We know that subtracting a negative is the same as adding the positive value of that number, so:
[tex]\[
x = -17 + 8
\][/tex]
Now, let's calculate [tex]\(-17 + 8\)[/tex]:
[tex]\[
-17 + 8 = -9
\][/tex]
Therefore, the value that Jana should put in the blank to make the equation [tex]\((-8) + \left(\_\right) = -17\)[/tex] true is [tex]\(-9\)[/tex].
Thus, the correct value is:
[tex]\[
\boxed{-9}
\][/tex]
