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LED Wiring Question

Prologue:  Please be gentle...once I get past V=IR and the "right-hand" rule, I'm lost to electronics.  But I can solder and follow a schematic.

I have several (7) LED sets (each set = 10 LEDs with power pack containing 2 AA batteries, switch, and resistor).  Each set of LEDs are all the same color (if that makes a difference). Image attached.

Question:  Is there a way to connect all LED sets to operate with a single switch and maintain each set with it's own power supply?

On a lighter note, I'm building a project for some pre-schoolers and want to hide all wiring and switches from those "inquiring minds" and "wandering" hands.

Thx in advance.

Paul D



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