To find k, we can isolate the variable k in the equation.
Starting from:
-106 = -8 - 7(8 + 2k)
Expanding the bracket:
-106 = -8 - 7(8) - 7(2k)
-106 = -8 - 56 - 14k
Adding 8 to both sides:
-98 = -56 - 14k
Adding 56 to both sides:
-42 = -14k
Dividing both sides by -14:
k = 3
So, the value of k is 3.