To solve the equation \( 3 = -2(m + 8) - 11m \), let's first distribute the \(-2\) on the right side of the equation.
\[ 3 = -2m - 16 - 11m \]
Next, combine the like terms (\(-2m\) and \(-11m\)):
\[ 3 = -13m - 16 \]
Now, we will isolate the term involving \(m\) by adding \(16\) to both sides:
\[ 3 + 16 = -13m \] \[ 19 = -13m \]
Next, divide both sides by \(-13\):
\[ m = \frac{19}{-13} \] \[ m = -\frac{19}{13} \]
Thus, the solution to the equation \( 3 = -2(m + 8) - 11m \) is
\[ m = -\frac{19}{13}. \]