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
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Answer: z = 18