To solve for the value of the expression [tex]\(-9r - 7\)[/tex] when [tex]\(r = 2\)[/tex], let’s go through the steps in detail.
1. Substitute the value of [tex]\(r\)[/tex]:
Substitute [tex]\(r = 2\)[/tex] into the expression [tex]\(-9r - 7\)[/tex].
2. Calculate the product of [tex]\(-9\)[/tex] and [tex]\(2\)[/tex]:
Replace [tex]\(r\)[/tex] with [tex]\(2\)[/tex]:
[tex]\[
-9 \times 2
\][/tex]
This simplifies to:
[tex]\[
-18
\][/tex]
3. Combine with the constant term:
Now subtract [tex]\(7\)[/tex] from [tex]\(-18\)[/tex]:
[tex]\[
-18 - 7
\][/tex]
This simplifies to:
[tex]\[
-25
\][/tex]
Therefore, the value of the expression [tex]\(-9r - 7\)[/tex] when [tex]\(r = 2\)[/tex] is [tex]\(-25\)[/tex]. The correct answer is [tex]\(-25\)[/tex].
