A Study to Determine the Safety, Tolerability, Pharmacokinetics, and Preliminary Efficacy of ABBV-927 With ABBV-368, Budigalimab (ABBV-181) and/or Chemotherapy in Participants With Locally Advanced or Metastatic Solid Tumors

* Adequate liver, kidney and hematology function as demonstrated by laboratory values detailed in the study protocol. * An Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1. Dose-Escalation: * Arm A: Participants with an advanced solid tumor who have progressed on standard therapies known to provide clinical benefit and/or participants who have refused or are intolerant of such therapy. * Arm B (non-small-cell-lung-cancer \[NSCLC\]): Participants with histologically or cytologically confirmed NSCLC who previously progressed during or after an anti-programmed cell death (PD)-1 or PD ligand 1 (PD-L1) therapy and a platinum-based regimen in the recurrent or metastatic setting. Dose-Expansion: * Arm 1, 2, and 3 (triple-negative breast cancer \[TNBC\]): Participants with histologically or cytologically confirmed breast adenocarcinoma that is estrogen receptor/progesterone receptor/human epidermal growth factor receptor (HER)2-negative who must have disease progression during or after at least 1 systemic therapy that included a taxane in the metastatic or recurrent setting and who are treatment-naïve to immunotherapy. * Arm 4 (TNBC): Participants with histologically or cytologically confirmed TNBC who have received no previous anti-cancer therapy for TNBC, and who are PD-L1 negative on tumor tissue by immunohistochemistry (IHC) assay. * Arm 5 (NSCLC): Participants with histologically or cytologically confirmed NSCLC who previously progressed either during or after an anti-PD-1 or PD-L1 therapy and a platinum-based regimen in the recurrent or metastatic setting.

* Has history of inflammatory bowel disease or pneumonitis. * Has uncontrolled metastases to the central nervous system. * Has a concurrent malignancy that is clinically significant, treatment is required, or the participant is not clinically stable. * Has had a major surgery ≤ 28 days prior to the first dose of study drug or the surgical wound is not fully healed. * Has previously treated with an anti-PD- or PD-L1-targeting agent and had during the course of their therapy: * any immune-mediated toxicity of Grade 3 or worse severity * treatment of the toxicity with systemic corticosteroids * any hypersensitivity to the PD-1 or PD-L1-targeting agent * any treatment-related toxicity resulting in discontinuation of the PD-1 or PD-L1 targeting agent