Solve for n.

7((1-(-3)^n)/(1-(-3))=3829

I was confused on distributing the number 7, because we've always had problems with the number 1 on the outside.

2 answers

Before trying to distribute first simplify the problem
3^7 = 2187, so you have

7(1+2187)/4 = 3829

which is true. But, as I recall, that does not answer the question in the problem as you originally posted it. I suspect that you did not check for that typo.