Final answer:
To solve the equation k + 31 = 72 for k, you subtract 31 from both sides, which gives the correct related equation of k = 72 - 31 = 41.
Step-by-step explanation:
When solving the equation k + 31 = 72 for the variable k, we are looking to isolate k on one side of the equation. To do this, we need to reverse the operation that has been applied to k. Since 31 is being added to k, we need to subtract 31 from both sides of the equation to undo this addition.
The correct related equation to solve for k is k = 72 - 31. When you subtract 31 from 72, you find that k equals 41, which is the solution to the equation. So, k + 31 = 72 becomes 41 + 31 = 72, which is a true statement.