What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
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:
The value of z is 17.
Step-by-step 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.