Question
Simplify: $7 \mathrm{a}[8 \mathrm{a}-(11 \mathrm{a}-(12 \mathrm{a}-\overline{6 \mathrm{a}-5 \mathrm{a}}))]$

Answer


$\begin{aligned} & 7 a[8 a-(11 a-(12 a-\overline{6 a-5 a}))] \\ & =7 a-[8 a-\{11 a-(12 a-6 a+5 a)\}] \\ & =7 a-[8 a-\{11 a-(17 a-6 a)\}] \\ & =7 a-[8 a-\{11 a-(11 a)\}] \\ & =7 a-[8 a-\{11 a-11 a\}] \\ & =7 a-8 a \\ & =-a\end{aligned}$

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