What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
Refine \(2(4z-3-1)\)
\(= 2(4z-4)\)
Refine : \(166 - 16 = 120\)
therefore:
\(2(z-4) = 120\)
Divide both sides by 2 :
\(\frac{2(z-4)}{2} = \frac{120}{2}\)
\(4z-4 = 60\)
add 4 to both sides:
\(4z-4+4 = 60+4\)
\(4z = 64\)
Divide both sides by 4 :
\(\frac{4z}{4} = \frac{64}{4}\)
\(z = 16\)
hope this helps!
Solutions
1) Simplify 4z−3−1 to 4z−4
2(4z−4)=166−46
2) Simplify 166−46 to 120
2(4z−4)=120
3) Divide the equation from both sides by 2
4z−4=120 ÷ 2
4) Simplify 120 ÷ 2 to 60
4z−4=60
5) Add 4 to both sides
4z=60+4
6) Simplify 60+4 to 64
4z=64
7) Divide both sides by 4z=64 ÷ 4
8) Simplify 64 ÷ 4 to 16
z=16