To solve the equation \(-6z = 48\) for \(z\), you can perform the same operation on both sides of the equation. In this case, you would typically want to isolate \(z\). Here’s how you can do that:
- Divide both sides by -6:
\[ \frac{-6z}{-6} = \frac{48}{-6} \]
This simplifies to:
\[ z = -8 \]
So, to solve for \(z\), you divide both sides of the equation by -6.
If you were looking for different operations such as adding or subtracting, you can do anything you want as long as you do it to both sides of the equation, but for this specific equation, dividing by -6 is the most direct way to isolate \(z\).
Please note that the variable we are solving for is \(z\), not \(x\). If you meant to solve for \(x\) in a different equation, please provide that equation.