Balloon distribution
During a party, the host distributed balloons to his guests in this way:
He gave the first guest 2 balloons plus
of the remainder;
the second guest 4 balloons plus
of the remainder;
the third guest 6 balloons plus
of the remainder;
the first fourth 8 balloons plus
of the remainder;
and so on, until the last guest got the final remainder.
If all the guests got an equal number of balloons, how many guests were there and how many balloons did each guest get?
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