Which property justifies the following equation?
7(0+5)=7*0+7*5

The Distributive Property. 
The distributive property basically means that you can multiply the sum of two numbers by multiplying each number separately rather than adding them first or something like that. 

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,