Cognitive Dysfunction in the Addictions Study - Project 4 (P4)

Inclusion Criteria: 1. are outpatients; 2. are voluntary and competent to consent to treatment; 3. have a Diagnostic and Statistical Manual for Mental Disorders, 5th edition (DSM-5) diagnosis of AUD based on the MINI; 4. do not exhibit problematic use of any substances (excluding nicotine and caffeine), including alcohol, for \>1 month; 5. are male or female between the ages of 18 - 59; 6. screened positive for an MDE based on the MINI without psychotic symptoms 7. are agreeable to keeping their current antidepressant medications and medications for alcohol use disorder constant during the study; 8. are reliably taking SUD agonist therapies if appropriate and managed by their clinical team; 9. are able to adhere to the study schedule; 10. meet the TMS safety criteria. Exclusion Criteria: 1. have a concomitant major unstable medical illness; 2. are pregnant or intend to get pregnant during the study; 3. have possible or probable dementia (based on the Informant Questionnaire on Cognitive Decline in the Elderly that will be administered to any participant with a baseline total score of \< 26 on the Montreal Cognitive Assessment (MoCA); 4. have failed a course of ECT, due to the lower likelihood of response to rTMS; 5. have any significant neurological disorder (e.g., a space occupying brain lesion, a history of stroke, a cerebral aneurysm, a seizure disorder, Parkinson's disease, Huntington's chorea, multiple sclerosis, significant history of head trauma with radiological evidence of intracranial trauma at the time of injury due to risk of possible seizure foci from prior intracranial lesions. 6. present with a medical condition, a medication, or a laboratory abnormality that could cause a major depressive episode or significant cognitive impairment in the opinion of the investigator (e.g., hypothyroidism with low TSH, Cushing's disease); 7. have an intracranial implant (e.g., aneurysm clips, shunts, cochlear implants) or any other metal object within or near the head, excluding the mouth, that cannot be safely removed; 8. require a benzodiazepine with a dose equivalent to lorazepam 2 mg/day or higher or any anticonvulsant due to the potential of these medications to limit the efficacy of rTMS \[79\]; 9. have an inability to communicate in English fluently enough to complete the clinical assessments. 10. have a MINI diagnosis or active symptoms of Bipolar Disorder