Suppose that given the following languages: L $=\{$a$\}$ M $=\{$b$\}$ N $=\{$c$\}$ all three consisting of only one string, and that string consisting of a single symbol, we observe that it is the case that: L$($M$+$N$)=$LM$+$LN

Can we then conclude that the above property $("$left distributivity"$)$ holds for all languages, with possibly infinite number of strings of arbitrary length:

No we cannot, it only works for thses three particular languages

Yes we can

No we cannot generalize

It only works for languages with finitely many strings