To find the value of \( f(-4) \) for the function \( f(x) = 10 - 4x \), we substitute \( -4 \) for \( x \) in the function:
\[ f(-4) = 10 - 4(-4) \]
Next, we calculate \( 4(-4) \):
\[ 4(-4) = -16 \]
Now substitute back into the equation:
\[ f(-4) = 10 + 16 \]
Finally, calculate the sum:
\[ f(-4) = 26 \]
Thus, the value of \( f(-4) \) is \( \boxed{26} \).