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To ensure that your nipples don't show through regular shirt material, look for bras with thick fabric cups, typically called either molded bras, contour bras, or T-shirt bras. They won't have a lot of extra padding, but the fabric will be solid enough to prevent your nipples from being visible. Padded bras will provide extra nipple coverage. This type of bra has two cups that stick onto your breasts with adhesive, rather than strapping around your back and shoulders. It often has a clip in the middle, like a front-clasping bra, that allows you to connect the cups for more push-up. You can purchase this type of bra online or in some lingerie stores. To put on a strapless, backless bra, bend over and stick the cup on the outside of each breast, then clip them together to create some cleavage. Wash the adhesive side of your bra after use with soap and water. Let it dry and store it in its original packaging so you can reuse it. If you're prefer to wear lacy bras or ones made of thin fabric, stick on the pastie before you put it on. You can enjoy the look and feel of these thinner bras without worrying that your nipples will show through.
Wear a T-shirt bra to cover your nipples through everyday tops. Wear a strapless, backless bra for more support in a backless top. Place a pastie or nipple cover under a thin bra for extra coverage.