What is 2\times 4(7+4(5\times 3-9)-3(40-8)) ?

The solution to 2\times 4(7+4(5\times 3-9)-3(40-8)) is -520

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2\times 4(7+4(5\times 3-9)-3(40-8))

2 \cdot 4 (7 + 4 (5 \cdot 3 - 9) - 3 (40 - 8))

- 520

Solution steps

2 \cdot 4 (7 + 4 (5 \cdot 3 - 9) - 3 (40 - 8))

Follow the PEMDAS order of operations

Calculate within parentheses

(7 + 4 (5 \cdot 3 - 9) - 3 (40 - 8)) : - 65

7 + 4 (5 \cdot 3 - 9) - 3 (40 - 8)

Calculate within parentheses

(5 \cdot 3 - 9) : 6

5 \cdot 3 - 9

Multiply and divide (left to right)

5 \cdot 3 : 15

5 \cdot 3

5 \cdot 3 = 15

= 15

= 15 - 9

Add and subtract (left to right)

15 - 9 : 6

15 - 9

15 - 9 = 6

= 6

= 6

= 7 + 4 \cdot 6 - 3 (40 - 8)

Calculate within parentheses

(40 - 8) : 32

40 - 8

40 - 8 = 32

= 32

= 7 + 4 \cdot 6 - 3 \cdot 32

Multiply and divide (left to right)

4 \cdot 6 : 24

4 \cdot 6

4 \cdot 6 = 24

= 24

= 7 + 24 - 3 \cdot 32

Multiply and divide (left to right)

3 \cdot 32 : 96

3 \cdot 32

3 \cdot 32 = 96

= 96

= 7 + 24 - 96

Add and subtract (left to right)

7 + 24 - 96 : - 65

7 + 24 - 96

7 + 24 = 31

= 31 - 96

31 - 96 = - 65

= - 65

= - 65

= 2 \cdot 4 (- 65)

Multiply and divide (left to right)

2 \cdot 4 (- 65) : - 520

2 \cdot 4 (- 65)

2 \cdot 4 = 8

= 8 (- 65)

Apply rule

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

8 (- 65) = - 8 \cdot 65 = - 520

= - 520

= - 520

30 - (- 2) \times (- 10) + (- 5) \times (- 2)

- 2 (- 4)^{2} - 5 (- 4) + 7

6 (5 - 2 - 1) + 4 (5 - 4 - 7) - 5 (- 2)

12 - 6 (4) + 15 + 7 (5)

8 + 10 \cdot 3^{2}

What is 2\times 4(7+4(5\times 3-9)-3(40-8)) ?
The solution to 2\times 4(7+4(5\times 3-9)-3(40-8)) is -520