Question

Rearrange the equation so
\[m\] is the independent variable.
\[-2m-5n=7m-3n\]
\[n=\]

Answer 1

To rearrange the equation \(-2m - 5n = 7m - 3n\) to solve for \(n\) in terms of \(m\), we can follow these steps:

1. Start with the original equation:
\[
-2m - 5n = 7m - 3n
\]

2. Move all the terms involving \(n\) to one side and the terms involving \(m\) to the other side. We can add \(5n\) and \(3n\) to both sides:
\[
-2m + 3n = 7m + 5n
\]

3. Now we want to isolate the \(n\) terms on one side. We can subtract \(5n\) from both sides:
\[
-2m + 3n - 5n = 7m
\]
This simplifies to:
\[
-2m - 2n = 7m
\]

4. Now, we can move \(-2m\) to the right side:
\[
-2n = 7m + 2m
\]
This simplifies to:
\[
-2n = 9m
\]

5. Divide both sides by \(-2\) to solve for \(n\):
\[
n = -\frac{9m}{2}
\]

Thus, the rearranged equation with \(n\) in terms of \(m\) is:
\[
n = -\frac{9}{2}m
\]