Answer:
15z^2 + 47z
Explanation:
To solve this equation, we need to simplify and combine like terms. First, let's distribute the terms within the parentheses:
8z - 5z(4z - 2(3z - 6)) - 7z(-5z + 3)
= 8z - 20z^2 + 30z - 5z(-6z + 12) - 7z(-5z + 3)
= 8z - 20z^2 + 30z + 30z - 20z + 35z^2 - 21z
Next, we can combine like terms:
8z - 20z^2 + 30z + 30z - 20z + 35z^2 - 21z
= -20z^2 + 35z^2 + 8z - 20z + 30z + 30z - 21z
= 15z^2 + 47z
Therefore, 8z - 5z(4z - 2(3z - 6)) - 7z(-5z + 3) simplifies to 15z^2 + 47z.