Final answer:
The value of k that makes the equation 5 - k = 12 true is -7.
Step-by-step explanation:
The student is asking for the value of k that makes the equation 5 - k = 12 true. To solve for k, you can isolate k on one side of the equation by adding k to both sides and then subtracting 12 from both sides, resulting in the equation k = -7.
This is the solution because when you substitute -7 for k in the original equation you get 5 - (-7) = 12, which simplifies to 5 + 7 = 12, confirming that the statement is true when k is equal to -7.