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Please try not to crack the eggs.
Literal
Egg [object-を] break-not-so-as-to do-please.
~ようにする ('try to / make sure to') paired with ~てください produces a polite 'please try to.' This is one rung up the politeness ladder from the more direct ~なさい imperative — same warning, but framed as a courteous request rather than an instruction. The ~ないように clause sets the negative purpose ('so that the eggs don't break').