There are 46 students in Class 1 of Grade 4 participating in 3 extracurricular activities. Among them, 24 people participated in the mathematics group, 20 people participated in the language group, and the number of people participating in the literature and art group was 3.5 times the number of participants in both the mathematics group and the literature and art group, and it was 7 times the number of participants in all three activities. The number of people who participated in the group and the language group was equivalent to twice the number of people who participated in all three items. There were 10 people who participated in both the mathematics group and the language group. Find the number of people participating in the art group.
四年级一班有46名学生参加3项课外活动．其中有24人参加了数学小组，20人参加了语文小组，参加文艺小组的人数是既参加数学小组又参加文艺小组人数的3.5倍，又是3项活动都参加人数的7倍，既参加文艺小组也参加语文小组的人数相当于3项都参加的人数的2倍，既参加数学小组又参加语文小组的有10人．求参加文艺小组的人数．
<gadget id="calculator">46 - 14 - 10 - 10</gadget>
<output>12</output>

<gadget id="calculator">1 - 1 - 1 - 1</gadget>
<output>-2</output>

<gadget id="calculator">4 + 1 + 1 + (-2)</gadget>
<output>4</output>

<gadget id="calculator">12 / 4</gadget>
<output>3</output>

<gadget id="calculator">3 * 7</gadget>
<output>21</output>

<result>21</result>