Calculate the value of this expression \[ \frac{3(4-1)+5}{-7} \]

To solve the expression \[ \frac{3(4-1)+5}{-7}, \] let's break it down step by step. 1. Start with the parentheses: \(4 - 1 = 3\). 2. Substitute back into the expression: \[ \frac{3 \cdot 3 + 5}{-7}. \] 3. Now calculate \(3 \cdot 3\): \[ 3 \cdot 3 = 9. \] 4. Add \(5\) to \(9\): \[ 9 + 5 = 14. \] 5. Now we have: \[ \frac{14}{-7}. \] 6. Finally, divide \(14\) by \(-7\): \[ \frac{14}{-7} = -2. \] So, the value of the expression is \[ \boxed{-2}. \]