Some verbs have adjective forms meaning the verb can be done. For example, "searchable" means "can be searched". I searched for the adjective form of "reduce" and found the word "reducible". However, as far I searched, it seems that this word is usually used in the field of chemistry. Does this word "reducible" can be used in general sentences, such as the following:

The shipping cost is reducible by negotiation.


Your sentence is grammatical, but hardly idiomatic, since reducible is not normally used to mean "can be lowered". Its usual meaning is "can be simplified".

The shipping cost is negociable|negotiable.

is the standard idiomatic way to express "a lower price can be negotiated".

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