Final answer:
To find the value of z in the equation 2(4z - 5 - 3) = 166 - 467, you simplify the equation, combine like terms, distribute, isolate z, and then divide to get z = -35.625.
Step-by-step explanation:
The question asks for the value of z in the given equation. Let's solve the equation step by step:
- First, simplify the equation on the left side: 2(4z - 5 - 3) = 166 - 467.
- Combine like terms on both sides: 2(4z - 8) = -301.
- Distribute the 2 into the parentheses: 8z - 16 = -301.
- Add 16 to both sides to isolate the term with z: 8z = -285.
- Finally, divide by 8 to solve for z: z = -285 / 8.
- z is then calculated to be: z = -35.625
Therefore, the value of z in the equation is -35.625.