Can Someone please check my work for correctness and that the logic I applied makes sense?

Please explain if not in agreement with my steps, This exercise is about the answer yes, but more about the steps to get to the answer, and I'm trying to understand it. So, if there is a more obvious or quicker path to get to the simplification, and or why?

Directions: Simplify the following expressions using Boolean Logic and write the name of the rule applied to the right of each step you use.

#1 Simplify equation: A+B*C+(A*B)*(A+C)

My work: A+B*C+(A*B)*(A+C) -> Original equation

A+(B*C)+[A*B*(A+C)] -> ADD & REMOVE BRACKETS

A+(A*B*(A+C))+(B*C) -> REARRANGE

-> Apply Absorbative Rule: A or (A&B)=A

A+(B*C) -> ANSWER FOUND

#2 Simplify equation: -(A*B)*(-A+B)*(-B+B)

My work:

-(A*B)*(-A+B)*(-B+B) -> Original

-(A*B)*(-A+B)*1 -> Complement Law

-(A*B)*[(-A+B)*1] -> Bracket arrangement

-(A*B)*(-A+B) -> Identity law

(-A + -B) * (-A +B) -> DeMorgans

((-A*-A)+(-A*B)+(-B*-A)+(-B*B) -> Idempotent & Complement

-A+ (-A*B)+(-B*-A)+0 -> Identity LAW

A + (-A*-B) -> Absorption Law (applied 2 times)

= -A -> ANSWER