What is 76-[-7+5\times (9-14+7)-5]-4\times (-3) ?

The solution to 76-[-7+5\times (9-14+7)-5]-4\times (-3) is 90

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76-[-7+5\times (9-14+7)-5]-4\times (-3)

76 - [- 7 + 5 \cdot (9 - 14 + 7) - 5] - 4 \cdot (- 3)

90

Solution steps

76 - [- 7 + 5 (9 - 14 + 7) - 5] - 4 (- 3)

Follow the PEMDAS order of operations

Calculate within parentheses

[- 7 + 5 \cdot (9 - 14 + 7) - 5] : - 2

- 7 + 5 (9 - 14 + 7) - 5

Calculate within parentheses

(9 - 14 + 7) : 2

9 - 14 + 7

Add and subtract (left to right)

9 - 14 = - 5

= - 5 + 7

- 5 + 7 = 2

= 2

= - 7 + 5 \cdot 2 - 5

Multiply and divide (left to right)

5 \cdot 2 : 10

5 \cdot 2

5 \cdot 2 = 10

= 10

= - 7 + 10 - 5

Add and subtract (left to right)

- 7 + 10 - 5 : - 2

- 7 + 10 - 5

- 7 + 10 = 3

= 3 - 5

3 - 5 = - 2

= - 2

= - 2

= 76 - (- 2) - 4 (- 3)

Multiply and divide (left to right)

4 (- 3) : - 12

4 (- 3)

Apply rule

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

4 (- 3) = - 4 \cdot 3 = - 12

= - 12

= 76 - (- 2) - (- 12)

Add and subtract (left to right)

76 - (- 2) - (- 12) : 90

76 - (- 2) - (- 12)

Apply rule

- (- a) = + a

- (- 2) = + 2

= 76 + 2 - (- 12)

76 + 2 = 78

= 78 - (- 12)

Apply rule

- (- a) = + a

- (- 12) = + 12

= 78 + 12

78 + 12 = 90

= 90

= 90

14 + [23 - (34 - 57)]

6 (- 1) - 4

8^{3} - 2 [(3 + 30) \div 3]

(40 - 33)^{2}

\frac{( + 2 - 3 + 1 )}{( - 2 + 2 )}

What is 76-[-7+5\times (9-14+7)-5]-4\times (-3) ?
The solution to 76-[-7+5\times (9-14+7)-5]-4\times (-3) is 90