Algebraic Expressions, Identities and Formulae - Addition and Subtraction of Algebraic Fractions

Simplify the expression \(\frac{2d\left( c+2 \right)}{\left( 3d-c \right)\left( c+1 \right)}-\frac{1}{c+1}\left( \frac{2d}{3d-c} \right)-\frac{3c\left( 3d+c \right)}{9{{d}^{2}}-{{c}^{2}}}\).