More states, territories and Washington, D.C., have signed on to a settlement with drugmaker Purdue Pharma and the Sackler family over the opioid crisis, officials said.

New Hampshire is signing on to a $7.4 billion settlement with Purdue Pharma and its owners over the opioid crisis.

Georgia is positioned to receive $126 million for addiction treatment, prevention, and recovery services, Carr’s office said Monday, adding that local governments will be asked to join the settlement...