\(a,\Rightarrow\dfrac{4}{15}x=-\dfrac{7}{16}\Rightarrow x=-\dfrac{105}{64}\\ b,\Rightarrow\left|\dfrac{1}{2}+4x\right|=\dfrac{1}{3}\\ \Rightarrow\left[{}\begin{matrix}4x=\dfrac{1}{3}-\dfrac{1}{2}=-\dfrac{1}{6}\\4x=-\dfrac{1}{3}-\dfrac{1}{2}=-\dfrac{5}{6}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{24}\\x=-\dfrac{5}{24}\end{matrix}\right.\)