Apologising by email - translated

How to apologise to a client via email ?
如何通過電子郵件向客戶道歉?
client 英 [?kla??nt]??美 [?kla??nt]??
n.客戶;當(dāng)事人;委托人;(連接在服務(wù)器上的)客戶機(jī)
1. State the error?
?It has come to my attention that you were overcharged $623 on invoice 0415 due to a pricing error by our organisation.
2. Apology #1?
I would like to sincerely apologise for this error, and we acknowledge the inconvenience this will have caused.
3. Explain the error?
Unfortunately, there was a glitch in our invoicing system, and l can see that item 02 did not have the correct discount applied, which explains the $623 overcharge discrepancy.
4. How you will resolve the error?
We appreciate that prompt payment of the invoice was made on the 1st of March, and have therefore applied a credit of $623 to your account.
I have also added a further $100 credit to the account as a gesture of goodwill.
- This is a really good phrase to remember if you want to do something for someone free of charge --- a gesture of goodwill
5. Give reassurance?
reassurance 英?[?ri??????r?ns; ?ri??????r?ns]??美?[?ri?????r?ns]?
n. 安慰,慰藉;能消除疑慮的說話(或行動(dòng)),保證
As your account manager, l should have checked the invoice more closely before issuing it.
Please be assured that l will check invoices more closely in the future.
6. Apology #2
Again, I am very sorry for this error.
Kind Regards
Sophie