What is -(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1 ?

The solution to -(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1 is 175

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-(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1

- (- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2) - 1

175

Solution steps

- (- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2) - 1

Follow the PEMDAS order of operations

Calculate within parentheses

(- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2) : - 176

- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2

Calculate within parentheses

(2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) : - 43

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

Calculate within parentheses

(4 - 3 (4 - 3) + 2 (7 - 3)) : 9

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

Calculate within parentheses

(4 - 3) : 1

4 - 3

4 - 3 = 1

= 1

= 4 - 3 \cdot 1 + 2 (7 - 3)

Calculate within parentheses

(7 - 3) : 4

7 - 3

7 - 3 = 4

= 4

= 4 - 3 \cdot 1 + 2 \cdot 4

Multiply and divide (left to right)

3 \cdot 1 : 3

3 \cdot 1

3 \cdot 1 = 3

= 3

= 4 - 3 + 2 \cdot 4

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 4 - 3 + 8

Add and subtract (left to right)

4 - 3 + 8 : 9

4 - 3 + 8

4 - 3 = 1

= 1 + 8

1 + 8 = 9

= 9

= 9

= 2 - 5 \cdot 9

Multiply and divide (left to right)

5 \cdot 9 : 45

5 \cdot 9

5 \cdot 9 = 45

= 45

= 2 - 45

Add and subtract (left to right)

2 - 45 : - 43

2 - 45

2 - 45 = - 43

= - 43

= - 43

= - 6 + 4 (- 43) + 2

Multiply and divide (left to right)

4 (- 43) : - 172

4 (- 43)

Apply rule

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

4 (- 43) = - 4 \cdot 43 = - 172

= - 172

= - 6 - 172 + 2

Add and subtract (left to right)

- 6 - 172 + 2 : - 176

- 6 - 172 + 2

- 6 - 172 = - 178

= - 178 + 2

- 178 + 2 = - 176

= - 176

= - 176

= - (- 176) - 1

Add and subtract (left to right)

- (- 176) - 1 : 175

- (- 176) - 1

Apply rule

- (- a) = a

- (- 176) = 176

= 176 - 1

176 - 1 = 175

= 175

= 175

2^{2} \cdot 3

8 + (- 2) + 3 + 5 \times (- 3) + (- 7)

(+ 4) + (- 2) + (+ 8) + (- 5)

13 - 16 + 19 - 22 + 25

(- 2) + (+ 5) + (+ 3) + (- 5)

What is -(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1 ?
The solution to -(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1 is 175