Sixth-grade students are divided into three groups to participate in labor. The number of people in group A accounts for 7/24 of the total number. If 6 people are transferred from group C to group A, the number of the three groups is exactly equal. How many students are there in the sixth grade?
六年级学生分成三组参加劳动，甲组人数占总人数的(7/24)，若从丙组调6人到甲组，则三组人数正好相等．六年级共有学生多少人？
<gadget id="calculator">6 * 2</gadget>
<output>12</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">7 / 24</gadget>
<output>7/24 = around 0.291667</output>

<gadget id="calculator">1 - (1/3) - (7/24) - (7/24)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">12 / (1/12)</gadget>
<output>144</output>

<result>144</result>