A little 6V/12V science. My 12 V pump running on 12 V uses 0.4 amps (4.8 watts). Running at 6 volts it uses 0.3 amps (about 1.8 watts). So at 6V it uses only 1/3 the power than 12V. That's why this works in your favor. Personally, I use a 12V battery and a Pulse Width Modulator.
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