Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf k = - 13}}}}[/tex]
Step-by-step explanation:
[tex] \sf{k + ( - \frac{5}{3} ) = - \frac{44}{3} }[/tex]
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.
⇒[tex] \sf{k - \frac{5}{3} = - \frac{44}{3} }[/tex]
Move 5/3 to right hand side and change it's sign
⇒[tex] \sf{k = - \frac{44}{3} + \frac{5}{3} }[/tex]
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.
⇒[tex] \sf{k = \frac{ - 44 + 5}{3} }[/tex]
Calculate
⇒[tex] \sf{k = \frac{ - 39}{3} }[/tex]
Divide -39 by 3
⇒[tex] \sf{k = - 13}[/tex]
Hope I helped!
Best regards!!
