What is one third of difference between 6 and p is added to 8?

To find one third of the difference between 6 and ( p ), we first calculate the difference: ( 6 - p ). Then, one third of this difference is ( \frac{1}{3}(6 - p) ). When we add this to 8, the expression becomes ( 8 + \frac{1}{3}(6 - p) ). Thus, the final expression is ( 8 + \frac{6 - p}{3} ).