Help drawing equivalent resistor diagrams.

[mathnoobie]

Homework Statement

I really just need help understanding how to re-draw a resistor diagram after calculating an equivalent resistor.
Now in the picture given in the attachment, you can see that R1 and R6 are in series with each other
when I compute their equivalent resistor(R1+R6), on what location on the system of resistors would I place the equivalent resistor? Would I place it in the location of R1, R6, or some intermediate point in between? I know that no matter which of the three choices I pick, it'll still be in parallel with R2 but I'm just looking for clarity in the expected placement.

Homework Equations

The Attempt at a Solution

 

[gneill]

You can place it anywhere, at any orientation you wish, so long as its leads connect across R2.

Orientation (angle, position) doesn't matter to a circuit. The lengths and convolutions of wires doesn't matter; they can wander all over the page at any angle or curve about with wild abandon. Only the underlying topology, in the mathematical sense, regarding what connects to what, matters.

 

[mathnoobie]

Thank you!