The value of the number is 9
From the question, we are to determine the number
From the given information,
"3 times a number is increased by 22"
Let the number be x
Thus,
3x + 22
"the result is 14 less than 7 times the number"
That is,
3x + 22 = 7x - 14
Now, solve the equation
3x + 22 = 7x - 14
22 + 14 = 7x - 3x
36 = 4x
x = 36/4
x = 9
Hence, the value of the number is 9
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