To solve for \( m \) in the equation
\[ -4m + 15 = -9m - 15, \]
we can follow these steps:
- Add \( 9m \) to both sides to get all the \( m \) terms on one side:
\[ -4m + 9m + 15 = -15. \]
This simplifies to:
\[ 5m + 15 = -15. \]
- Next, subtract 15 from both sides:
\[ 5m = -15 - 15, \]
which simplifies to:
\[ 5m = -30. \]
- Now, divide both sides by 5:
\[ m = \frac{-30}{5} = -6. \]
So, the solution is
\[ \boxed{-6}. \]
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