In this case, you need to write a remark about that circumstance on the Business Property Statement, or on an attachment to it. Also fill out Part III (Equipment Belonging To Others) of the form. If you own any small equipment, such as a printer, copier, etc., that you are using in the business, you should report these costs under Part II of the Business Property Statement and also Schedule A.
The articles of organization also should include information about how your LLC will be managed. You need to indicate whether the members of the LLC will do hands-on management or if there will be hired management. Another requirement is to discuss how long the LLC will be in existence (there is no limit on this, so it is fine to say in perpetuity).
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.