My example here will be taking a motor from 12V to 18V...

If you raise the voltage, current will go up, as resistance of the
windings is not changing.  Because current increased, so too will
torque, which is proportional to current.  As torque goes up, speed
goes up (mechanical load on the motor is unchanged).  As the speed
increases, more lines of magnetic flux are cut by the windings,
producing a counterelectromotive  force (CEMF) that opposes the
original applied (18V) voltage, reducing current to a new (higher than
original, but lower than the surge from the increased voltage) value.
The motor's precise speed will oscillate a little until these
competing forces work themselves out.  The end result is that the
motor will be turning faster for the same load, at a higher than
original current value.  Power has gone up due to the increase in
voltage and current (reflected in work done; the tank moves faster
than before).

Sound reasonable?

-- 
Clark in Georgia, Commissar of the Red Banner Southern Fleet
"We will pass through the American patrols, past their sonar nets, and
lay off their largest city, and listen to their rock and roll... while
we conduct missile drills."

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