to solve this question, we need to simplify
step 1
write out the equation and collect like terms
[tex]\begin{gathered} n-\frac{9}{10}=-\frac{109}{10} \\ n=-\frac{109}{10}+\frac{9}{10} \end{gathered}[/tex]step 2
take the LCM and solve the fraction
the LCM here is 10
[tex]\begin{gathered} n=-\frac{109}{10}+\frac{9}{10} \\ n=\frac{-109+9}{10} \\ n=-\frac{100}{10} \\ n=-10 \end{gathered}[/tex]