Final answer:
The question involves solving for the variable z in an algebraic equation by using distribution, simplification, and isolation of the variable.
Step-by-step explanation:
The question requires solving the algebraic equation for the variable z. We are given the equation z - p(d + z) = -2z + 59, and we need to manipulate this equation to isolate z on one side of the equation. Firstly, distribute the term -p into the parentheses in p(d + z). After simplifying, collect all the terms involving z on one side and constant terms on the other. Next, factor out z and divide by the coefficient to get the solution for z.