Question
Simplify: $5 a-[6 a-\{9 a-(10 a-\overline{4 a-3 a})\}]$

Answer


$\begin{aligned} & 5 a-[6 a-\{9 a-(10 a-\overline{4 a-3 a})\}] \\ & =5 a-[6 a-\{9 a-(10 a-4 a+3 a)\}] \\ & =5 a-[6 a-\{9 a-10 a+4 a-3 a\}] \\ & =5 a-[6 a-9 a+10 a-4 a+3 a] \\ & =5 a-6 a+9 a-10 a+4 a-3 a \\ & =5 a+9 a+4 a-6 a-10 a-3 a \\ & =18 a-19 a \\ & =-a\end{aligned}$

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