Sorry means...
You did not
mean what you did.
You won't do it again.
You aren't seeking to gain anything out of the word and take full responsibility and consequences.
You
respect what the other person wants because you
hurt them. It won't be the same.
Actions over words.
EXAMPLE:
You left
someone out of an invite to your party.. you
say 'sorry'.. they
don't invite you to their party, but you didn't say 'sorry' just to go to their party so you understand their decision, if you are truly sorry.