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What value of [tex]\( n \)[/tex] makes the equation true?

[tex]\[
\begin{array}{l}
-\frac{1}{5} n + 7 = 2 \\
n = \square
\end{array}
\][/tex]

Sagot :

GinnyAnswer
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]
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