Question

olve for m.
–
4m+15=
–
9m–15
m=

Answer 1

To solve for \( m \) in the equation

\[
-4m + 15 = -9m - 15,
\]

we can follow these steps:

1. Add \( 9m \) to both sides to get all the \( m \) terms on one side:

\[
-4m + 9m + 15 = -15.
\]

This simplifies to:

\[
5m + 15 = -15.
\]

2. Next, subtract 15 from both sides:

\[
5m = -15 - 15,
\]

which simplifies to:

\[
5m = -30.
\]

3. Now, divide both sides by 5:

\[
m = \frac{-30}{5} = -6.
\]

So, the solution is

\[
\boxed{-6}.
\]