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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 is

16−2|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

. 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 ,localid="1658066854352" 3(1-4)-(8-5)=3×-3-3=-9-3=-12Taketheabsolutevalue,weget=12

03

. Solving the expression

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

the expression will become

localid="1658066877943" 16−2|3(1−4)−(8−5)|=16-2×12=16-24=-8,sincetheremorenegativesumwillbenegative

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