You can move a group of walls/construction lines using either of the following methods:
With the mouse
Select any wall of the targeted group and drag the group to the new location. Make sure you do not click any of the wall group handles; if you do, you will resize or move the individual walls.
With the right click Move command
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Point to any wall within the group to be moved and right-click. In the pop-up menu, point to Wall Group and select Move.
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Move the group to the new location and click to set.