To solve this, we need to use the distributive property for the right side of the equation.
-2(7 + 2k). To do this, we multiply the outside number by the inside number(s).
-2(7) + -2(2k) = -14 + (-4k)
Now our equation is 3k = -4k -14.
Add 4k to both sides to get k on one side.
7k = -14
Divide by 7 to get k.
k = -2.
I hope this helps!