Simplify. \[ \left(7 t^{2}-2 t+6\right)+\left(-4 t^{2}+3 t+5\right) \]

To simplify the expression \(\left(7 t^{2}-2 t+6\right)+\left(-4 t^{2}+3 t+5\right)\), we can combine like terms. 1. Combine the \(t^2\) terms: \[ 7 t^2 - 4 t^2 = 3 t^2 \] 2. Combine the \(t\) terms: \[ -2 t + 3 t = 1 t = t \] 3. Combine the constant terms: \[ 6 + 5 = 11 \] Putting it all together, we have: \[ 3 t^2 + t + 11 \] So, the simplified expression is: \[ \boxed{3 t^2 + t + 11} \]