Question

-5k+4(k+6)=-4(2k+1)...

Answer 1

Hey there! 

First: Distribute the problem 

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

Problem become: $-5k + 4k + 24 = -8k + 1$

Second: Combine your like terms 

Like: $-5k + 4k + 24 = -8k - 4$

Problem becomes: $-k + 24 = -8k - 4$

Third: add the value $8k$ to your sides

Like: $-k + 24 + 8k \\ \\ = -8k - 4 + 8k$

Problem becomes: $7k + 24 = -4$

Fourth: subtract by $24$  on each of your sides

Like: $7k + 24 - 24 \\ \\ = -4 - 24$

Problem becomes: $7k = -28$

Fifth: divide both sides by $7$

Like: $\frac{7k}{7} = \frac{-28}{7}$

$Answer: k =-4$

Good luck on your assignment and enjoy your day! 

~$LoveYourselfFirst:)$

Answer 2

-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!