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Set the cabinets in place and level them with shims.
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Predrill a 3/16-inch hole in the back of the cabinets at the stud locations and attach them to the wall with 2 1/4-inch cabinet screws. If the screws are exposed, they can be dressed up with trim rings. Trim rings are decorative washers that allows the screws to sit inside them and is much more appealing to the eyes. Level and install the rest of the cabinets as you would any other cabinet.
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Install shoe molding or a wider molding at the bottom of the cabinets to hide the gap between the carpet and the cabinets. Usually, there is a gap at the front of the cabinets because the back of the cabinets are sitting on a tack strip and the front is not. The tack strip is a wood strip nailed to the floor with sharp points sticking up to grip the carpet.