Verified Answer :

The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:

3/4x-14=-8. Now we can just solve!
       +14   +14

3/4x=6.
4/3   4/3

x=8. 


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Given number is 8

Assume;

Given number is 'n'

Find;

Given number

Computation:

Three fourths of given number;

\(Three\ fourths\ of\ given\ number = \frac{3}{4}[n]\)

Three fourths of given number minus 14 ;

\(Three\ fourths\ of \ given\ number\ minus\ 14 = \frac{3}{4}[n] - 14\)

So,

\(\frac{3}{4}n - 14 = -8\)

\(3n - 56 = -32 \\\\3n = 56 -32 \\\\3n = 24 \\\ = \frac{24}{3} \\\ = 8\)

Given number = 8

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