What is 12a-(7a-b)+(6a-4b) ?

The solution to 12a-(7a-b)+(6a-4b) is 11a-3b

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simplify 12a-(7a-b)+(6a-4b)

simplify

12 a - (7 a - b) + (6 a - 4 b)

11 a - 3 b

Solution steps

12 a - (7 a - b) + (6 a - 4 b)

Apply rule:

a + (b + c) = a + b + c

- (7 a - b) + (6 a - 4 b) = - (7 a - b) + 6 a - 4 b

= 12 a - (7 a - b) + 6 a - 4 b

Group like terms

= - (7 a - b) + 12 a + 6 a - 4 b

Add similar elements:

12 a + 6 a = 18 a

= - (7 a - b) + 18 a - 4 b

Apply the distributive law:

- (a - b) = - a + b

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

= - 7 a + b + 18 a - 4 b

Group like terms

= - 7 a + 18 a + b - 4 b

Add similar elements:

- 7 a + 18 a = 11 a

= 11 a + b - 4 b

Add similar elements:

b - 4 b = - 3 b

= 11 a - 3 b

5 x^{2} - 3 x - 15 x + 9

- 8 x^{2} - 5 x - 16 = - 4 x^{2}

0 = x^{2} + 4 x + 5

\frac{11 e ^{9}}{22 e ^{10}}

5 x^{2} - 16 x + 3