Learn Turkish: Bu ambalajların hiçbiri güzel değil. - None of these packagings are beautiful.

The base word is hiçbir (none). The -i is the 3rd person singular possessive suffix. It connects to the genitive suffix -ın on ambalajların to form a possessive compound, literally meaning "the none of the packagings".

To say "none of the packagings", why do we need the suffix -ın on ambalajların?

In Turkish, phrases like "none of...", "some of...", or "all of..." are built using possessive grammar. Just like you would say "Ali'nin arabası" (Ali's car), you say ambalajların hiçbiri (the packagings' none). The -ın is the genitive suffix that acts like the English "of".

The English translation says "these packagings", so why is it Bu instead of the plural Bunlar?

In Turkish, adjectives don't take plural markers. When a demonstrative word like bu (this/these) is used directly before a noun, it always stays singular, even if the noun itself is plural.

Why is it güzel değil rather than the plural güzel değiller?

Two reasons! First, the pronoun hiçbiri (none of them) takes a singular verb or predicate. Second, when a plural subject is not human (like packagings), Turkish normally uses the singular form for the verb or predicate anyway.