N.C. Gen. Stat. § 59-504
Distributions of cash or other assets of a limited partnership shall be made among the partners, and among classes of partners, in the manner provided in the partnership agreement. To the extent the partnership agreement does not provide for the sharing of distributions among the partners, distributions shall be made among the partners on the basis of the agreed value of the contributions made by each partner to the extent they have been received by the partnership and have not been returned. As used in this section, the term "agreed value" means an amount or other measure of value as (i) is provided in the partnership agreement, or (ii) if not provided in the partnership agreement, is required to be set forth in the written records required pursuant to G.S. 59-106.
N.C. Gen. Stat. § 59-504