Rewrite in simplest terms: \( 2(-6 s-8 t)-10 t-2(t+7 s) \)

First, let's simplify the expression step by step. Start with the expression \( 2(-6 s - 8 t) - 10 t - 2(t + 7 s) \). 1. Distribute the 2 inside the first parentheses: \[ 2 \cdot -6s = -12s \quad \text{and} \quad 2 \cdot -8t = -16t \] So, \( 2(-6s - 8t) = -12s - 16t \). 2. Now we rewrite the entire expression: \[ -12s - 16t - 10t - 2(t + 7s) \] 3. Distribute -2 in the last part: \[ -2(t) = -2t \quad \text{and} \quad -2(7s) = -14s \] Therefore, \( -2(t + 7s) = -2t - 14s \). 4. The expression now looks like this: \[ -12s - 16t - 10t - 2t - 14s \] 5. Now, combine like terms. First combine the \( s \) terms: \[ -12s - 14s = -26s \] 6. Now combine the \( t \) terms: \[ -16t - 10t - 2t = -28t \] 7. Putting it all together gives us: \[ -26s - 28t \] So the simplified expression is \( -26s - 28t \).