Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf k = - 13}}}}](https://img.qammunity.org/2021/formulas/mathematics/college/qpqbz9z8y50s3hhkoaudl41w4w74rcrbgj.png)
Explanation:
![\sf{k + ( - (5)/(3) ) = - (44)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/college/5zed1643opm79p9quaxjbqycsd4jzt6wun.png)
When there is a ( + ) in front of an expression in Parentheses, there is no need to change the sign.
That means the expression remains the same.
⇒
![\sf{k - (5)/(3) = - (44)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/college/8720rcpkumudqymi60wubnp33nakay8wu9.png)
Move 5/3 to right hand side and change it's sign
⇒
![\sf{k = - (44)/(3) + (5)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/college/cse21m1xdjh0289bdc9pune2r9jn3vglg0.png)
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
⇒
![\sf{k = ( - 44 + 5)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/college/2f92s6l1wmg379mnco5n62ebkjsd7q8jgy.png)
Calculate
⇒
![\sf{k = ( - 39)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/college/387d3fjrrfqzwmxuiqtwt3ax0o2kmuzaah.png)
Divide -39 by 3
⇒
![\sf{k = - 13}](https://img.qammunity.org/2021/formulas/mathematics/college/mk5953b4oxlaxpyj0tioquxqyi3omajexo.png)
Hope I helped!
Best regards!!