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91Ó°ÊÓ

Simplify the expression

16 − 2|3(1 − 4) − (8 − 5)|

Short Answer

Expert verified

Simplified form of16−2|3(1−4)−(8−5)|is-8

Step by step solution

01

Given information

Given expression is16−2|3(1−4)−(8−5)|.

To simplify the given expression first work inside the parenthesis and do absolute value ,then do the rest of the operations.

02

Step2:Solving the parenthesis and absolute value

when work on the parenthesis we get (1-4)=-3(8-5)=3

Subtract inside the absolute value bars. ,role="math" localid="1644344346900" 3(1-4)-(8-5)=3×-3-3=-9-3=-12,Taketheabsolutevalue,weget=12

03

Step 3:Solving the expression

When 3(1-4)-(8-5)=12

the expression will becomerole="math" localid="1644344719904" 16−2|3(1−4)−(8−5)|=16-2×12=16-24=-8,sincetheremorenegativesumwillbenegative

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