What is 5c+2(4a-2b)-3(2a-2b-c) ?

The solution to 5c+2(4a-2b)-3(2a-2b-c) is 8c+2a+2b

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simplify 5c+2(4a-2b)-3(2a-2b-c)

simplify

5 c + 2 (4 a - 2 b) - 3 (2 a - 2 b - c)

8 c + 2 a + 2 b

Solution steps

5 c + 2 (4 a - 2 b) - 3 (2 a - 2 b - c)

Expand

2 (4 a - 2 b) : 8 a - 4 b

= 5 c + 8 a - 4 b - 3 (2 a - 2 b - c)

Expand

- 3 (2 a - 2 b - c) : - 6 a + 6 b + 3 c

= 5 c + 8 a - 4 b - 6 a + 6 b + 3 c

Group like terms

= 5 c + 3 c + 8 a - 6 a - 4 b + 6 b

Add similar elements:

5 c + 3 c = 8 c

= 8 c + 8 a - 6 a - 4 b + 6 b

Add similar elements:

8 a - 6 a = 2 a

= 8 c + 2 a - 4 b + 6 b

Add similar elements:

- 4 b + 6 b = 2 b

= 8 c + 2 a + 2 b

1224

3 - 4

\frac{2 s ^{9}}{3 ( s ) ^{4}}

2 x^{2} - 3 x y - 3 y + 2 x

\frac{p q ^{- 3} r ^{- 4}}{3 v ^{- 5}}

What is 5c+2(4a-2b)-3(2a-2b-c) ?
The solution to 5c+2(4a-2b)-3(2a-2b-c) is 8c+2a+2b