Equation step-by-step:
-(3z + 4) = 6z - 3(3z + 2) → we break down the () with the distributive property
-3z - 4 = 6z - 9z - 6 → we take -4 to the right side of the equation
-3z = 6z - 9z - 6 + 4 → we solve for - 6 + 4
-3z = 6z - 9z - 2 → we solve 6z - 9z
-3z = -3z - 2 → we take -3z to the left side of the equation
-3z + 3z = -2 → we solve for - 3z - 3z
0 = -2 → final answer. There is no solution to this equation, it's false.
Hope it helped,
BioTeacher101