Final answer:
To solve the equation -2k = k - 7 - 8, combine like terms, move all k terms to one side of the equation, and solve for k.
Step-by-step explanation:
To solve the equation -2k = k - 7 - 8, we can start by combining like terms on the right side.
-7 and -8 can be added together to get -15. So the equation becomes -2k = k - 15.
Next, we can move all the k terms to one side of the equation.
Subtracting k from both sides gives us -3k = -15.
To solve for k, we can now divide both sides of the equation by -3.
This gives us k = -15 / -3, which simplifies to k = 5.