あなたのケーキを____。

待（ま）ち合（あ）わせの時間（じかん）に遅（おく）れ____。

息子（むすこ）さんの髪（かみ）をピンクに染（そ）め____。

ご飯（はん）を残（のこ）し____。

遅（おそ）く____。

約束（やくそく）を____。

____。怒（おこ）りたくなかった。

____。

家事（かじ）を____。

失敗（しっぱい）____。

締（し）め切（き）りまでに____。

パーティーに招待（しょうたい）____。

あなたのお金（かね）を別（べつ）の人（ひと）に____。

分（わ）かりにくい説明（せつめい）を____。

結婚式（けっこんしき）なのにこの格好（かっこう）で____。

てすみません is a grammar construction that expresses the speaker's regret about (A). It is often translated directly to 'I'm sorry for (A)'. As discussed in one of our previous lessons on て, we examined the 'since', or 'due to' meaning that it can have. Let's look at a few examples.

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<li data-study-question='180618'>
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Phrases that use this particular (A) て (B) nuance of the て-form primarily express something that is beyond the control of the speaker in the (B) statement. Coming from the verb 済（す）む (to finish), すみません (the negated form) means 'to be unfinished'. In this way, てすみません literally means that the speaker feels that something is 'unfinished due to (A)'. This is very similar to phrases like 'having unfinished business' in English.

<ul class='writeup-examples--holder'><li data-study-question='180620'></ul>

Although the translation is 'I'm sorry', perhaps it would be easier to remember this grammar structure as highlighting someone's regret/unfinished feelings about (A), and simply showing that to the person that is being apologized to.

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The english sentence is past tense, while the japanese answer is present tense. 
In Genki II 2nd Edition Page 106 it says that, when apologizing for something in the past, you need to add a ‘deshita’ after the sumimasen, so it would look like: 
わたしてすみませんでした

Paulkun

<blockquote>
結婚式なのにこの格好で行ってすみません。 
I’m sorry for going dressed this way, since it is a wedding.
</blockquote>
What is the なのに expressing here?
Also is this the same で as the one that marks means/instruments?

Deltacat3

<aside class="quote group-level-39" data-username="deltacat3" data-post="14" data-topic="1197">
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<img alt="" width="20" height="20" src="https://community.bunpro.jp/user_avatar/community.bunpro.jp/deltacat3/40/10269_2.png" class="avatar"> deltacat3:</div>
<blockquote>
What is the なのに expressing here?
</blockquote>
</aside>
It’s basically saying ‘in spite of…’ in this case, ‘in spite of this being a wedding’ in a literal sense.
<aside class="quote group-level-39" data-username="deltacat3" data-post="14" data-topic="1197">
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<img alt="" width="20" height="20" src="https://community.bunpro.jp/user_avatar/community.bunpro.jp/deltacat3/40/10269_2.png" class="avatar"> deltacat3:</div>
<blockquote>
Also is this the same で as the one that marks means/instruments?
</blockquote>
</aside>
Yes! It’s basically expressing ‘sorry I came with this look’.
Putting these two together gives the translation of the sentence.
Hope this helps!

～てすみませんI'm sorry for

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