To simplify the expression \( 2(3u - 5) - 8u \), follow these steps:
- Distribute the \( 2 \) in the first part of the expression:
\[ 2 \cdot 3u - 2 \cdot 5 = 6u - 10 \]
- Now substitute this back into the expression:
\[ 6u - 10 - 8u \]
- Combine like terms (the \( u \) terms):
\[ 6u - 8u - 10 = -2u - 10 \]
So, the simplified expression is:
\[ -2u - 10 \]