We consider the Standard Model (SM) with the addition of a U(1)′ gauge symmetry and a complete fourth family of quarks and leptons which are vectorlike with respect to the full SU(3)C×SU(2)L×U(1)Y×U(1)′ gauge symmetry. The model provides a unified explanation of experimental anomalies in (g-2)μ as well as b→sℓ+ℓ- decays. We find good fits to the deviations from the SM, while at the same time fitting all other SM observables. The model includes a new Z′ gauge boson, a U(1)′-breaking scalar, and vectorlike leptons all with mass of order a few hundred giga-electron-volts. It is consistent with all currently released high energy experimental data; however, it appears imminently testable with well-designed future searches. Also, we propose a novel possibility to detect a very distinctive signal with more than four muons originating from pair-produced vector-like leptons decaying to a muon-philic Z′ boson. I will also discuss the W boson mass explained by the vectorlike leptons. This talk is based on 1906.11297, 1911.11075, 2104.04461 and 2205.10480.