What value of z is a solution to this equation?

To solve the equation \( 49 = -5z - 2z \), we first simplify the right-hand side:

\[ -5z - 2z = -7z \]

Now the equation becomes:

\[ 49 = -7z \]

Next, we solve for \( z \) by dividing both sides by \( -7 \):

\[ z = \frac{49}{-7} \]

Calculating the right-hand side:

\[ z = -7 \]

Thus, the value of \( z \) that is a solution to the equation is:

\[ \boxed{-7} \]