The calculated distance (air line) between Balad and As Sulaymānīyah is approximately 130 miles respectively 209 kilometers.
By car or train, the actual journey to As Sulaymānīyah is certainly longer, as only the direct route (as the crow flies) between Balad and As Sulaymānīyah has been calculated here.
Air line (approximately)
209 kilometers
113 nautical miles