Perform the Indicated Operation and Express Your Answer in Simplest $$\frac { t + 18 } { 2 t + 3 } - \frac { 3 t ^ { 2 } + 3 t + 54 } { 2 t ^ { 2 } + 9 t + 9 } + \frac { t + 1 } { t + 3 }$$

Short Answer

Perform the indicated operation and express your answer in simplest form. $$\frac { t + 18 } { 2 t + 3 } - \frac { 3 t ^ { 2 } + 3 t + 54 } { 2 t ^ { 2 } + 9 t + 9 } + \frac { t + 1 } { t + 3 }$$ Please enter your answer as one fraction with the denominator factored completely.