Solve the equation. 3(2k-9)+4=5-2(k+7) (show work )

Hey there!!

Given equation :

... 3 ( 2k - 9 ) + 4 = 5 - 2 ( k + 7 )  

Using the distributive property :

... 6k - 27 + 4 = 5 - 2k - 14

Combining the like terms :

... 6k - 23 = -2k - 9

Adding 2k on both sides :

... 8k - 23 = -9

Adding 23 on both sides :

... 8k = 24

Dividing by 8 on both sides :

... k = 24 / 8

... k = 3

The required answer is 3.

Hope my answer helps!!