move 3d object w mouse

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i can't seem to figure out how to start this.

i have a level editor that lets me pick a game object, a wall segment, or gate or something. that works.

i'd like to be able to move the mouse and have the object follow it. my camera could be facing any direction, so how can i move the object to the users left if the mouse moves left?

i'd even be happy if i could have the user press left arrow to have something move left, no matter which way he's facing the object. right now if you turn around and press left it'll just do something like x=x-1, which is different looking depending on which side of the object the camera is on.

objects and cameras can be turned any which way.

anyone know how i'd go about doing this?