Question

Rearrange the equation so
\[m\] is the independent variable.
\[7m+2=7n-5\]
\[n=\]

Answer 1

To rearrange the equation \(7m + 2 = 7n - 5\) so that \(m\) is the independent variable and we express \(n\) in terms of \(m\), we can follow these steps:

1. Start with the original equation:
\[
7m + 2 = 7n - 5
\]

2. Isolate the term involving \(n\) by adding 5 to both sides:
\[
7m + 2 + 5 = 7n
\]
\[
7m + 7 = 7n
\]

3. Simplify the left-hand side:
\[
7m + 7 = 7n
\]

4. Divide both sides by 7:
\[
m + 1 = n
\]

So, we express \(n\) in terms of \(m\):
\[
n = m + 1
\]