solve for the value of z.\nanswer attempt 1 out of 2\nz =

Explanation:

Step1: Set up the equation

Vertical - angles are equal. So, (7z + 7=9z - 7).

Step2: Move like - terms together

Subtract (7z) from both sides: (7z+7 - 7z=9z - 7-7z), which simplifies to (7 = 2z-7).

Step3: Isolate the variable term

Add 7 to both sides: (7 + 7=2z-7 + 7), resulting in (14 = 2z).

Step4: Solve for (z)

Divide both sides by 2: (\frac{14}{2}=\frac{2z}{2}), so (z = 7).

Answer:

(z = 7)