1. The problem is to verify if the equation $-3x - 3y + 4z - 6 = 0$ can be a valid answer. 2. This equation is a linear equation in three variables $x$, $y$, and $z$. It represents a plane in 3D space. 3. The general form of a plane equation is $$Ax + By + Cz + D = 0$$ where $A$, $B$, $C$, and $D$ are constants. 4. In your equation, $A = -3$, $B = -3$, $C = 4$, and $D = -6$. 5. Since it matches the general form, your equation is a valid plane equation. 6. Therefore, yes, your answer $-3x - 3y + 4z - 6 = 0$ is a valid equation of a plane.