solve for z.\n14 = 10 + 4(z - 15)\nz =

Explanation:

Step1: Simplify the equation

$$14 = 10 + 4(z - 15)$$ First, expand the right - hand side: $14=10 + 4z-60$. Then, simplify the right - hand side: $14=4z - 50$.

Step2: Isolate the term with (z)

Add (50) to both sides of the equation: $14 + 50=4z-50 + 50$. So, $64 = 4z$.

Step3: Solve for (z)

Divide both sides by (4): $\frac{64}{4}=\frac{4z}{4}$. We get (z = 16).

Answer:

(z = 16)