Respuesta :

Answer: K = -7

Explanation:

22k - 39 = 11k + 20k + 24

22k - 39 = 31k + 24

22k - 31k = 24 + 39

-9k = 63

K = -7

Answer:

[tex]k=-7[/tex]

Step-by-step explanation:

[tex]22k-39=11k+2\left(10k+12\right)[/tex]

Apply the Distributive Property

[tex]22k-39=11k+20k+24[/tex]

Combine like terms

[tex]22k-39=31k+24[/tex]

Rearrange variables to the left side of the equation

[tex]22k-31k=24+39[/tex]

Combine like terms

[tex]-9k=24+39[/tex]

Calculate the sum or difference

[tex]-9k=63[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]k=-\frac{63}{9}[/tex]

Cross out the common factor

[tex]k=-7[/tex]

I hope this helps you

:)