What is 9(2a-3b)-6(8a-2c)+c ?

The solution to 9(2a-3b)-6(8a-2c)+c is -30a-27b+13c

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simplify 9(2a-3b)-6(8a-2c)+c

simplify

9 (2 a - 3 b) - 6 (8 a - 2 c) + c

- 30 a - 27 b + 13 c

Solution steps

9 (2 a - 3 b) - 6 (8 a - 2 c) + c

Expand

9 (2 a - 3 b) : 18 a - 27 b

= 18 a - 27 b - 6 (8 a - 2 c) + c

Expand

- 6 (8 a - 2 c) : - 48 a + 12 c

= 18 a - 27 b - 48 a + 12 c + c

Add similar elements:

12 c + c = 13 c

= 18 a - 27 b - 48 a + 13 c

Group like terms

= 18 a - 48 a - 27 b + 13 c

Add similar elements:

18 a - 48 a = - 30 a

= - 30 a - 27 b + 13 c

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What is 9(2a-3b)-6(8a-2c)+c ?
The solution to 9(2a-3b)-6(8a-2c)+c is -30a-27b+13c