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]
