grammar - I can't quite understand the meaning of 自分でも

I can't quite derive the meaning of 自分でも from the parts that make it up.

Here are the example sentences I don't get with the offered translations.

自分でもそれをやってみます。 Do it by yourself.

自分でもそれが解っているんだけと。 I know it myself.

Are the translations wrong? Why is there a も there? There doesn't seem to be an "Even" or a "Too" nuance in the sentences.

Can anyone shed some light on this?

I'd also appreciate an answer that clarified if this でも is で＋も or でも and what difference would it make if the も was dropped.

Answer

As requested, to break things down into parts...

自分でもそれをやってみます。

【自分】oneself / myself

【で】by (preposition)

【も】too

【それをやってみます】 will try to do it

For pure comprehension purposes, this can be made easier to understand by replacing【自分でも】with【私も】＋【自分で】

e.g.【私も自分でそれをやってみます。】 Effectively, "I too, will try to do it by myself." (As opposed to leaving the task up to someone else to do.)

If the も was dropped remove "too, " from the above phrase.

自分でもそれが解っているんだけと。

(Note: I will assume a typo and that the final と is supposed to be ど)

【自分】I / myself (personal pronoun)

【でも】even (adverb)

【それが解っているん】understand that

【だけど】([conjunction] to an omitted phrase or [emphasis] depending on the nuance)

Effectively, either...

[Conjunction] "Even though I understand that..." (Omitted phrase understood by context) For example: A「タバコをやめるべきですよ。体に悪いんです。」B「自分でもそれがわかっているんだけど・・・（やめられないんだよ）」

[Emphasis] "Even I understand that !／? (don't treat me like a fool)" For example: A「空が青いって知ってますか？」B「私でもそれがわかっているんだけど（バカにしないでください）」