To factor the expression \(-42k - 54\), we can start by finding the greatest common factor (GCF) of the two terms:
- The coefficients are -42 and -54.
- The GCF of 42 and 54 is 6.
Now, we factor out \(-6\) (the GCF) from each term:
\[ -42k - 54 = -6(7k + 9) \]
So the equivalent factorization of the expression \(-42k - 54\) is:
\[ -6(7k + 9) \]