\(m_{NaOH}=a\left(g\right)\)
\(m_{dd_{NaOH}}=m_{NaOH}+m_{H_2O}=a+200\left(g\right)\)
\(C\%_{NaOH}=\dfrac{m_{NaOH}}{m_{dd_{NaOH}}}\cdot100\%=8\%\)
\(\Leftrightarrow\dfrac{a}{200+a}\cdot100\%=8\%\)
\(\Leftrightarrow200+a=12.5a\)
\(\Leftrightarrow a=17.4\left(g\right)\)