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Answer :

The equation given is:

[tex]\frac{1}{4}(\frac{1}{3}k+9)=6[/tex]

Multiply both-side of the equation by 6

[tex]4\times\frac{1}{4}(\frac{1}{3}k+9)=6\times4[/tex][tex](\frac{1}{3}k+9)=24[/tex]

subtract 9 from both-side of the equation

[tex]\frac{1}{3}k=15[/tex]

To get k, we are to multiply both-side of the equation

[tex]k=45[/tex]

Therefore, Olga made a mistake in the last step