Respuesta :

-5k + 4(k + 6) = -4(2k + 1)        Given
-5k + 4k + 24 = -8k - 4            Distributive Property
          -k + 24 = -8k - 4            Combine like terms
         7k + 24 = -4                   Add 8k to both sides
                 7k = -28                 Subtract 24 from both sides
                   k = -4                   Divide both sides by 7

Answer:
k = -4

Hope this helps!
Hey there! 

First: Distribute the problem 

Like
:  4(k) and 4(6) (other half) -4(2k) and 4!) 

Problem become: [tex]-5k + 4k + 24 = -8k + 1 [/tex]

Second: Combine your like terms 

Like: [tex]-5k + 4k + 24 = -8k - 4 [/tex]

Problem becomes: [tex]-k + 24 = -8k - 4 [/tex]

Third: add the value [tex]8k[/tex] to your sides

Like: [tex]-k + 24 + 8k \\ \\ = -8k - 4 + 8k [/tex]

Problem becomes: [tex]7k + 24 = -4 [/tex]

Fourthsubtract by [tex]24[/tex]  on each of your sides

Like: 
[tex]7k + 24 - 24 \\ \\ = -4 - 24 [/tex]

Problem becomes: [tex]7k = -28[/tex]

Fifth: divide both sides by [tex]7[/tex]

Like: [tex] \frac{7k}{7} = \frac{-28}{7} [/tex]

[tex]Answer: k =-4 [/tex]

Good luck on your assignment and enjoy your day! 

~[tex]LoveYourselfFirst:)[/tex]