[Your Name, & Address here]
[Recipient Name & address here]
I am in receipt of your letter regarding the repairs to your property.
First, I would like to say sorry for the damages caused by me to your property. Actually, I accidentally [state the damage] when I was [state the incident].
I take the full responsibility for these damages caused to your property.
So, I am enclosing a check of $[amount] payable to you to cover the expenses of repairs. If you require any help from my aside regarding this, please do inform me.
Encl: [Enclosures List here]