Mathematics · Sequence and Series

In series P, there are six consecutive even numbers, and the average of the smallest and largest numbers is 83. Another series, Q, consists of five consecutive odd numbers. The smallest number in series Q is 40 less than half the sum of the second smallest and third smallest numbers from series P. Determine the value of (2T1 + 3T3 - T5), where Tn represents the n-th term in series Q.