What is 6a+3b-7c-(2a+5b)+4c ?

The solution to 6a+3b-7c-(2a+5b)+4c is 4a-2b-3c

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simplify 6a+3b-7c-(2a+5b)+4c

simplify

6 a + 3 b - 7 c - (2 a + 5 b) + 4 c

4 a - 2 b - 3 c

Solution steps

6 a + 3 b - 7 c - (2 a + 5 b) + 4 c

Group like terms

= - (2 a + 5 b) + 6 a + 3 b - 7 c + 4 c

Add similar elements:

- 7 c + 4 c = - 3 c

= - (2 a + 5 b) + 6 a + 3 b - 3 c

Apply the distributive law:

- (a + b) = - a - b

- (2 a + 5 b) = - 2 a - 5 b

= - 2 a - 5 b + 6 a + 3 b - 3 c

Group like terms

= - 2 a + 6 a - 5 b + 3 b - 3 c

Add similar elements:

- 2 a + 6 a = 4 a

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

Add similar elements:

- 5 b + 3 b = - 2 b

= 4 a - 2 b - 3 c

\frac{10000}{4 π \cdot ( 7.5 \cdot 1 0 ^{- 3} ) ^{2}}

\frac{22}{52}

\frac{( \frac{4}{3} )}{2}

5 \cdot 11

33 - 3