Question

Which property justifies the following equation? 7 (6+0+5) =7( 6+5)

Answer 1

I suppose the additive identity. You are either replacing "6 + 0" with "6", or you are replacing "0 + 5" with "5". In either case, you are using the additive identity.

Answer 2

The "Identity property of addition" justifies your equation because it states: There is a unique real real number 0 such that for every real number a, a+0=a and 0+a=a.