Answered

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

[tex]\[
-\frac{1}{5}n + 7 = 2
\][/tex]

[tex]\( n = \square \)[/tex]

Sagot :

GinnyAnswer
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]
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