To find the value of [tex]\( n \)[/tex] that makes the equation [tex]\( -\frac{1}{5}n + 7 = 2 \)[/tex] true, follow these steps:
1. Isolate the term with [tex]\( n \)[/tex]:
Start with the equation:
[tex]\[
-\frac{1}{5}n + 7 = 2
\][/tex]
Subtract 7 from both sides to get:
[tex]\[
-\frac{1}{5}n + 7 - 7 = 2 - 7
\][/tex]
Simplifying this, we have:
[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]\[
n = -5 \times -5
\][/tex]
Simplifying this, we have:
[tex]\[
n = 25
\][/tex]
So, the value of [tex]\( n \)[/tex] that makes the equation true is:
[tex]\[
n = 25
\][/tex]
