What kind of Insect would be eating sunflower leaves?

West Newton, MA

I planted many different flower seeds in mid-June and things are mostly now in bloom. I've noticed though that many of the plants are being heavily eaten by some insect, and it seems that the sunflower leaves are getting the worst of it. (Somebody is even also eating away at the sunflower petals.) Any ideas on what insect could be doing this and what I can do about it? A sampling of the sunflower leaves:

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