What is the value of z in the equation 2(4z -6 - 6) = 166 - 46?

1) Start by simplifying the equation:
2(4z - 6 - 6) = 166 - 46
2(4z - 12) = 120

2) Distribute the 2 on the left to the 4z and 12 using the distributive property and simplify:
2(4z - 12) = 120
2(4z) - (2)(12) = 120
8z - 24 = 120

3) Find the value of z by getting it by itself. Add 24 to both sides, then divide both sides by 8:
8z - 24 = 120
8z = 144
z = 18



z = 18

2(4z -6 -6)= 166 -46
(8z - 12 - 12) = 120
8z - 24 = 120
add 24 to both sides
8z = 120 + 24
8z = 144        divide both sides by 8

z=18