What is 8-3a-2[a-(b-2)+3(b-3)]-6 ?

The solution to 8-3a-2[a-(b-2)+3(b-3)]-6 is -5a-4b+16

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simplify 8-3a-2[a-(b-2)+3(b-3)]-6

simplify

8 - 3 a - 2 [a - (b - 2) + 3 (b - 3)] - 6

- 5 a - 4 b + 16

Solution steps

8 - 3 a - 2 (a - (b - 2) + 3 (b - 3)) - 6

Group like terms

= - 2 (a - (b - 2) + 3 (b - 3)) - 3 a + 8 - 6

Subtract the numbers:

8 - 6 = 2

= - 2 (a - (b - 2) + 3 (b - 3)) - 3 a + 2

Simplify

a - (b - 2) + 3 (b - 3) : a + 2 b - 7

= - 2 (a + 2 b - 7) - 3 a + 2

Expand

- 2 (a + 2 b - 7) : - 2 a - 4 b + 14

= - 2 a - 4 b + 14 - 3 a + 2

Group like terms

= - 2 a - 3 a - 4 b + 14 + 2

Add similar elements:

- 2 a - 3 a = - 5 a

= - 5 a - 4 b + 14 + 2

Add the numbers:

14 + 2 = 16

= - 5 a - 4 b + 16

6 x^{3} + 5 y^{2} - 2 z - 4 x^{3} - 6 y^{2} + 5 z + y

8 x + 31 < 23

- 2 + 6 i

45 \cdot 96

(3 + \frac{1}{4}) (1 - \frac{4}{3})

What is 8-3a-2[a-(b-2)+3(b-3)]-6 ?
The solution to 8-3a-2[a-(b-2)+3(b-3)]-6 is -5a-4b+16