LLCs have fewer ongoing requirements compared to their corporation counterparts. For example, an LLC is not required to keep minutes or hold annual meetings. An LLC also does not have a board of directors, and isn't is held to the same record keeping standards of a corporation. Keep in mind that the state of incorporation in will have its own set of annual requirements. That includes filing the required business licenses and permits, which vary from state to state. Be sure to check in with your Secretary of State to ensure you don't accidentally miss any required filings.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.