4. What is the value of k in the equation below?

4 (k + 5) - 2k + 6 = 2 (3k + 2) - 6 k =

The value of k in the given equation is - 11

Step-by-step explanation:

4 (k+5) - 2k + 6 = 2 (3k+2) - 6k

Open the brackets

4k + 20 - 2k + 6 = 6k + 4 - 6k

On the right hand, 6k has cancelled out, hence

4k + 20 - 2k + 6 = 4

Collect all like terms

4k - 2k = 4 - 6 - 20

simplify further

2k = - 22

To make "K" the subject, divide through by 2

k = - 22 / 2

k = - 11

-11

Step-by-step explanation:

4 (k+5) - 2k+6=2 (3k+2) - 6k

4k+20-2k+6=6k+4-6k

4k-2k+20+6=4

2k+26=4

2k=4-26

2k=-22

k=-22/2

k=-11