What is -5+{-4-[5-6+(3-4)]+6} ?

The solution to -5+{-4-[5-6+(3-4)]+6} is -1

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-5+{-4-[5-6+(3-4)]+6}

- 5 + {- 4 - [5 - 6 + (3 - 4)] + 6}

- 1

Solution steps

- 5 + {- 4 - [5 - 6 + (3 - 4)] + 6}

Follow the PEMDAS order of operations

Calculate within parentheses

{- 4 - [5 - 6 + (3 - 4)] + 6} : 4

- 4 - [5 - 6 + (3 - 4)] + 6

Calculate within parentheses

[5 - 6 + (3 - 4)] : - 2

5 - 6 + (3 - 4)

Calculate within parentheses

(3 - 4) : - 1

3 - 4

3 - 4 = - 1

= - 1

= 5 - 6 - 1

Add and subtract (left to right)

5 - 6 - 1 : - 2

5 - 6 - 1

5 - 6 = - 1

= - 1 - 1

- 1 - 1 = - 2

= - 2

= - 2

= - 4 - (- 2) + 6

Add and subtract (left to right)

- 4 - (- 2) + 6 : 4

- 4 - (- 2) + 6

Apply rule

- (- a) = + a

- (- 2) = + 2

= - 4 + 2 + 6

- 4 + 2 = - 2

= - 2 + 6

- 2 + 6 = 4

= 4

= 4

= - 5 + 4

Add and subtract (left to right)

- 5 + 4 : - 1

- 5 + 4

- 5 + 4 = - 1

= - 1

= - 1

12 - [4 + (3 - 2)] + [12 - (7 - 2)]

12 \div 2 - 4 \div 2 - 42 \div 7 - 20 \div 4

2 - (- 2)^{3} + (- 3)^{0} + 2

4 \div 15 \div 5

(- 14)^{2} - 17 (14) + 72