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If Mai distributed the flyers equally among the five volunteers, then each volunteer initially had 40/5 = 8 flyers.
After Mai took 2 flyers from each volunteer, the number of flyers each volunteer had left was 8 - 2 = 6 flyers.
Since each volunteer had 6 flyers left and there were 5 volunteers, the total number of flyers left is 6 * 5 = 30 flyers.
Therefore, Mai initially distributed 40 - 30 = 10 flyers to the teachers.