Question

What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?

Answer 1

First we solve what we can.2(4z − 5 − 3) = 166 − 462(4z-8)=120
8z-16=120
Then we have to leave z alone.
8z=120+16
z= 136/8
Lastly, we solve.
z= 17

Answer 2

The value of z is 17.

Explanation:

The given equation is

`2(4z-5-3)=166-46`

`2(4z-8)=120`

Use distributive property of multiplication, to solve the above equation.

`2(4z)+2(-8)=120`

`8z-16=120`

Add 16 on both the sides.

`8z=120+16`

`8z=136`

Divide both sides by 8.

`z=17`

Therefore the value of z is 17.