Let's solve the equation step-by-step to find the value of [tex]\( n \)[/tex]:
1. Start with the given equation:
[tex]\[
-\frac{1}{5} n + 7 = 2
\][/tex]
2. Subtract 7 from both sides to isolate the term involving [tex]\( n \)[/tex]:
[tex]\[
-\frac{1}{5} n + 7 - 7 = 2 - 7
\][/tex]
Simplifying the equation, we get:
[tex]\[
-\frac{1}{5} n = -5
\][/tex]
3. To solve for [tex]\( n \)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(-\frac{1}{5}\)[/tex], which is [tex]\(-5\)[/tex]:
[tex]\[
n = -5 \times -5
\][/tex]
4. Calculate the product on the right-hand side:
[tex]\[
n = 25
\][/tex]
So, the value of [tex]\( n \)[/tex] that makes the equation true is:
[tex]\[
n = 25
\][/tex]
