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

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

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

simplify

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

8 a - 4 c

Solution steps

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

Group like terms

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

Add similar elements:

3 a + 3 a = 6 a

= - 2 (b - a) + 6 a + 2 b - 4 c

Expand

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

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

Add similar elements:

2 a + 6 a = 8 a

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

Group like terms

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

Add similar elements:

- 2 b + 2 b = 0

= 8 a - 4 c

4^{2} \cdot 4^{5} \cdot 4^{- 7}

\frac{m ^{2} - m + 1}{m - m ^{2} - 1}

\frac{1}{3} \cdot \frac{2}{7}

\frac{10 !}{7 ! \cdot 3 !}

\frac{15 x ^{2}}{5 x}