What is (-4)*[-6+8*(-3-5)+40] ?

The solution to (-4)*[-6+8*(-3-5)+40] is 120

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(-4)[-6+8(-3-5)+40]

(- 4) \cdot [- 6 + 8 \cdot (- 3 - 5) + 40]

120

Solution steps

(- 4) [- 6 + 8 (- 3 - 5) + 40]

Follow the PEMDAS order of operations

Calculate within parentheses

[- 6 + 8 \cdot (- 3 - 5) + 40] : - 30

- 6 + 8 (- 3 - 5) + 40

Calculate within parentheses

(- 3 - 5) : - 8

- 3 - 5

- 3 - 5 = - 8

= - 8

= - 6 + 8 (- 8) + 40

Multiply and divide (left to right)

8 (- 8) : - 64

8 (- 8)

Apply rule

a \cdot (- b) = - a \cdot b

8 (- 8) = - 8 \cdot 8 = - 64

= - 64

= - 6 - 64 + 40

Add and subtract (left to right)

- 6 - 64 + 40 : - 30

- 6 - 64 + 40

- 6 - 64 = - 70

= - 70 + 40

- 70 + 40 = - 30

= - 30

= - 30

= (- 4) (- 30)

Multiply and divide (left to right)

(- 4) (- 30) : 120

(- 4) (- 30)

Apply rule

(- a) \cdot (- b) = a \cdot b

(- 4) (- 30) = 4 \cdot 30 = 120

= 120

= 120

- 4 - 6 + 2

- 2 + {- 3 - [7 + 4 (- 2 + 5)] + 6} - 10

2 (- 4)^{2} + (- 4) - 15

7 - 6 + 4

(8 - 1)^{2}