Garden pumplines problem

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Hi /sci/

Just a humble craftsman here looking to get an idea of how to get started with this plumbing problem. I'm sort of approaching this like it's a system of linear equations. Basically I have four garden pods and each garden pod has water pumped to it from a group of four reservoirs (there's a tank for each reservoir). Each water line takes a different route due to the physical arrangement of the pods. I need the pressure output (in Pascals/ kPa) to be equal at each pod. The pods' pressure needs to be variable so there's no real target pressure.

How do I go about solving this? It's been a while since linear algebra in college, but I actually am finding this quite interesting. Any insight would be greatly appreciated, many thanks in advance.