You must report personal property holdings in detail and as requested or mandated. If nothing has changed from the prior year (no equipment was purchased or sold), then you may refer to your prior year's Business Property Statement filing in order to be consistent in completing the current Business Property Statement. If you failed to keep a copy of the prior year's filing, you may request a copy of it from the Assessor's Office.
The governing document of the LLC is called an operating agreement, and it is within this document that the members lay out all important provisions, such as standards for LLC governance, ownership parameters, and rules around member changes (adding or removing members, or what happens in case of death or incapacity of a member). The operating agreement is an internal document and is an agreement amongst the members or owners, which means it is not recorded with the state.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.