Final answer:
Smyth should sign as an agent or on behalf of L. T. Adams to avoid becoming a party to the contract and indicate she is representing Adams, who will be responsible for the contract's obligations.
Step-by-step explanation:
To avoid becoming a party to any contract that Smyth signs for Adams, Smyth should sign as an agent or on behalf of L. T. Adams. When Smyth signs in such a manner, it makes it clear that Smyth is acting under the authority of Adams and is not the principal party to the contract. This type of signature identifies that Smyth is merely representing Adams, who will be the party responsible for fulfilling the contract's obligations.