Let's solve the equation [tex]\( -\frac{1}{5} n + 7 = 2 \)[/tex] step by step to find the value of [tex]\( n \)[/tex].
1. Isolate the term with [tex]\( n \)[/tex] on one side:
[tex]\[
-\frac{1}{5} n + 7 = 2
\][/tex]
Subtract 7 from both sides:
[tex]\[
-\frac{1}{5} n + 7 - 7 = 2 - 7
\][/tex]
Simplifying, we get:
[tex]\[
-\frac{1}{5} n = -5
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], multiply both sides by [tex]\(-5\)[/tex]:
[tex]\[
(\frac{-1}{5} n) \times (-5) = -5 \times (-5)
\][/tex]
Simplifying this, we get:
[tex]\[
n = 25
\][/tex]
Therefore, the value of [tex]\( n \)[/tex] that makes the equation true is:
[tex]\[
n = 25
\][/tex]
