what is the value of z in the equation 2(4z − 3 − 1) = 166 − 46? 14 15 16 17
2(4z - 3 -1) = 166 - 46
2*(4z - 4) = 120
(4z - 4) = 120/2
4z - 4 = 60
4z = 60 + 4
4z = 64
z = 64/4
z = 16
Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
\(2(4z-3-1)=166-46\)
\(2(4z-4)=120\)
Using distributive property we get,
\(2(4z)+2(-4)=120\)
\(8z-8=120\)
Add 8 on both the sides.
\(8z=120+8\)
\(8z=128\)
Divide both sides by 8.
\(z=16\)
The value of z is 16, therefore the correct option is 3.