3(8z-1)+10-6(5+3z) please show your work!

I think the question here is to clean up this expression and simplify it.

-- Eliminate the first set of parentheses:

                 3 (8z - 1) = 24z - 3

-- Eliminate the second set of parentheses:

                -6 (5 + 3z) = -30 - 18z

-- Now write the whole thing without the parentheses:

                24z - 3    + 10    - 30 - 18z

-- Add up all the z's:

                24z - 18z  =  6z

-- Add up all the plain old numbers:

                 -3 + 10 - 30 = -23

-- Write the z's and plain old numbers together:

                     6z - 23

And that's exactly the same thing as the whole ugly mess
that we started out with in the question.