To find the sum of \( p \) and \( q \), we simply add the two values together:
Given:
- \( p = 34 \)
- \( q = -114 \)
Now calculating the sum:
\[ p + q = 34 + (-114) = 34 - 114 = -80 \]
Thus, the sum of \( p \) and \( q \) is \( -80 \).
Therefore, the answer is not \(-3.6586\). The correct answer is:
\[ \boxed{-80} \]