What is 2-{-4+(-5)-[-5+(-3)-2]+4}-4 ?

The solution to 2-{-4+(-5)-[-5+(-3)-2]+4}-4 is -7

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2-{-4+(-5)-[-5+(-3)-2]+4}-4

2 - {- 4 + (- 5) - [- 5 + (- 3) - 2] + 4} - 4

- 7

Solution steps

2 - {- 4 + (- 5) - [- 5 + (- 3) - 2] + 4} - 4

Follow the PEMDAS order of operations

Calculate within parentheses

{- 4 + (- 5) - [- 5 + (- 3) - 2] + 4} : 5

- 4 + (- 5) - [- 5 + (- 3) - 2] + 4

Calculate within parentheses

[- 5 + (- 3) - 2] : - 10

- 5 + (- 3) - 2

Add and subtract (left to right)

Apply rule

+ (- a) = - a

+ (- 3) = - 3

= - 5 - 3 - 2

- 5 - 3 = - 8

= - 8 - 2

- 8 - 2 = - 10

= - 10

= - 4 + (- 5) - (- 10) + 4

Add and subtract (left to right)

- 4 + (- 5) - (- 10) + 4 : 5

- 4 + (- 5) - (- 10) + 4

Apply rule

+ (- a) = - a

+ (- 5) = - 5

= - 4 - 5 - (- 10) + 4

- 4 - 5 = - 9

= - 9 - (- 10) + 4

Apply rule

- (- a) = + a

- (- 10) = + 10

= - 9 + 10 + 4

- 9 + 10 = 1

= 1 + 4

1 + 4 = 5

= 5

= 5

= 2 - 5 - 4

Add and subtract (left to right)

2 - 5 - 4 : - 7

2 - 5 - 4

2 - 5 = - 3

= - 3 - 4

- 3 - 4 = - 7

= - 7

= - 7

- 2 + (- 3 - (7 + 4 (- 2 + 5))) - 4

- 4^{2} + 4 (- 4)

4 (- 1)^{2} - (- 1) - 3

120 (- 2)^{3} - 24 (- 2)

(7 + 3)^{5}

What is 2-{-4+(-5)-[-5+(-3)-2]+4}-4 ?
The solution to 2-{-4+(-5)-[-5+(-3)-2]+4}-4 is -7