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What value of [tex]$n$[/tex] makes the equation true?

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

[tex]n = \boxed{\phantom{answer}}[/tex]


Sagot :

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]