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Senate Minority Leader Mitch McConnell, Kentucky Republican, questioned whether Mr. Reid wants a debate.

“I’m unclear yet as to whether the majority leader wants to bring a gun measure to the floor,” Mr. McConnell told reporters. “It’ll be up to him to determine whether we see that issue on the floor, up to the Judiciary Committee to determine whether or not we have hearings and go forward. I’m among those who’d be happy to take a look at whatever the majority decides to advance on that subject.”

Mr. Reid, who is from Nevada, said he is “going to do everything within my power to bring legislation dealing with gun and violence generally to the floor.”

He said the process will be open to whatever amendments senators want to offer.