Sure! To solve for [tex]\( n \)[/tex] in the equation
[tex]\[
-\frac{1}{5} n + 7 = 2
\][/tex]
we need to isolate [tex]\( n \)[/tex]. Let's go through the steps:
1. Start with the given equation:
[tex]\[
-\frac{1}{5} n + 7 = 2
\][/tex]
2. Subtract 7 from both sides to move the constant term to the other side:
[tex]\[
-\frac{1}{5} n = 2 - 7
\][/tex]
3. Simplify the right side:
[tex]\[
-\frac{1}{5} n = -5
\][/tex]
4. To isolate [tex]\( n \)[/tex], multiply both sides by [tex]\(-5\)[/tex]:
[tex]\[
n = -5 \times -5
\][/tex]
5. Simplify the right side:
[tex]\[
n = 25
\][/tex]
Thus, the value of [tex]\( n \)[/tex] that makes the equation true is
[tex]\[
\boxed{25}
\][/tex]
