Single-Plane Circuit Simplification

I need a clean, single-plane circuit designed and fully simplified so I can drop it straight into a larger board layout. The circuit will include resistors, capacitors, and voltage sources, and the key goal is network simplification, not raw simulation horsepower. Please base every step on Kirchhoff’s Laws and document how each branch current and node voltage is condensed into the final equivalent network.

Here’s what I’d like back:

• A clear schematic (PDF or image) showing the original layout on one plane.
• A step-by-step worksheet—or well-commented file—demonstrating the simplification process, explicitly calling out each Kirchhoff equation used.
• A final, fully simplified equivalent circuit with all values shown.
• Optional but welcome: a quick SPICE/LTspice file so I can verify the results myself.

Keep component values realistic, label everything clearly, and highlight any assumptions you make. If something in the math looks inconsistent, flag it rather than forcing it through.