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Evaluate [5 - (5 - 5(2 - 5) + 2)] + 6​

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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Evaluate [5 - (5 - 5(2 - 5) + 2)] + 6


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}


\sf [5 - (5 - 5(2 - 5) + 2)] + 6

Subtract 5 from 2 to get -3.


\sf \: 5-\left(5-5\left(-3\right)+2\right)+6

Multiply 5 and -3 to get -15.


\sf \: 5-\left(5-\left(-15\right)+2\right)+6

The opposite of -15 is 15.


\sf \: 5-\left(5+15+2\right)+6

Add 5 and 15 to get 20.


\sf \: 5-\left(20+2\right)+6

Add 20 and 2 to get 22.


\sf \: 5-22+6

Subtract 22 from 5 to get -17.


\sf \: -17+6

Add -17 and 6 to get -11.


= \boxed{ \boxed { \bf \: - 11}}

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