See the posts below from class, but in particular here's what we talked about:
The Difference Between Minus and a Negative
Converting Subtraction Signs to Adding the Opposite [ IE 4 - 2 = 2 is now 4 + -2 = 2)
How this helps with subtracting integers problems [ IE -3 -(-2) is now -3 +(+2) ]
Homework is on subtracting integers!