Answer :

Certainly! Let's solve the equation [tex]\( n = \frac{4}{5}(m + 7) \)[/tex] for [tex]\( m \)[/tex].

1. Start with the given equation:
[tex]\[ n = \frac{4}{5}(m + 7) \][/tex]

2. Isolate the term containing [tex]\( m \)[/tex]:
To isolate [tex]\( m + 7 \)[/tex], we'll first get rid of the fraction by multiplying both sides of the equation by [tex]\(\frac{5}{4}\)[/tex]:
[tex]\[ \frac{5}{4}n = m + 7 \][/tex]

3. Solve for [tex]\( m \)[/tex]:
Now, we will isolate [tex]\( m \)[/tex] by subtracting 7 from both sides of the equation:
[tex]\[ m = \frac{5}{4}n - 7 \][/tex]

And there you have it! The solution for [tex]\( m \)[/tex] is:
[tex]\[ m = 1.25n - 7 \][/tex]