To solve the equation \( 14k + 3k - 16k = 5 \), we first combine the like terms on the left side.
- Combine \( 14k \), \( 3k \), and \( -16k \): \[ (14k + 3k - 16k) = 14k + 3k - 16k = (14 + 3 - 16)k = 1k = k \]
So, the equation simplifies to: \[ k = 5 \]
Thus, the solution for \( k \) is: \[ \boxed{5} \]