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The value of $$165 - [135 - \left\{84 \div 4 of 3 - (16 - 18 \div 3)\right\}]$$ is:
= $$165 - [135 - \left\{84 \div 4 of 3 - (16 - 18 \div 3)\right\}]$$
= $$165-[135-\left\{84\div12-(16-6)\right\}]$$
= $$165-[135-\left\{7-(16-6)\right\}]$$
= $$165-[135-\left\{7-10\right\}]$$
= $$165-[135-\left\{-3\right\}]$$
= $$165-[135+3]$$
= 165-138
= 27
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