Final answer:
To solve the given equation for z, distribute the -6, combine like terms, then isolate and simplify z to find that z = -1.5.
Step-by-step explanation:
The equation given is -3x - 6(z + 2) = -3. We want to solve for z. To do this, follow these steps:
- Distribute the -6 to both z and 2, giving us -3x - 6z - 12 = -3.
- Add 12 to both sides of the equation to get -3x - 6z = 9.
- Since we are solving for z, we ignore the term -3x. Divide both sides by -6 to isolate z, resulting in z = -9/6.
- Simplify z to get z = -3/2 or z = -1.5 as the final answer.