Evaluate the expression for \( g=-7 \) \[ 2 g^{2}+11 g+16-7 g=\square \]

To evaluate the expression \( 2g^{2} + 11g + 16 - 7g \) for \( g = -7 \), follow these steps: 1. **Combine Like Terms** Start by simplifying the expression by combining the terms with \( g \): \[ 2g^{2} + 11g + 16 - 7g = 2g^{2} + (11g - 7g) + 16 = 2g^{2} + 4g + 16 \] 2. **Substitute \( g = -7 \) into the Simplified Expression** Replace each \( g \) in the expression with \(-7\): \[ 2(-7)^{2} + 4(-7) + 16 \] 3. **Calculate Each Term** - **First Term:** \( 2(-7)^{2} \) \[ (-7)^2 = 49 \\ 2 \times 49 = 98 \] - **Second Term:** \( 4(-7) \) \[ 4 \times (-7) = -28 \] - **Third Term:** \( 16 \) (remains the same) 4. **Add the Calculated Terms Together** \[ 98 - 28 + 16 \] - First, subtract \( 28 \) from \( 98 \): \[ 98 - 28 = 70 \] - Then, add \( 16 \) to \( 70 \): \[ 70 + 16 = 86 \] 5. **Final Result** \[ 2(-7)^{2} + 11(-7) + 16 - 7(-7) = 86 \] Therefore, the evaluated expression is: \[ 2g^{2} + 11g + 16 - 7g = \boxed{86} \]