Answer :

The value of the number is 9

Solving linear equations

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

Learn more on Solving linear equation here: https://brainly.com/question/7535988

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