1. Problem: Determine if $k=32$ is a solution to $k + 19 = 51$. 2. Substitute $k=32$ into the equation: $$32 + 19 = 51$$ 3. Calculate the left side: $$32 + 19 = 51$$ 4. Since both sides equal 51, $k=32$ is a solution. This completes the first problem as per instructions.