What is simplify-(-a+b)+[-(a+b)-(-2a+3b)+(-b+a-b)] ?

The solution to simplify-(-a+b)+[-(a+b)-(-2a+3b)+(-b+a-b)] is 3a-7b

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simplify-(-a+b)+[-(a+b)-(-2a+3b)+(-b+a-b)]

simplify

- (- a + b) + [- (a + b) - (- 2 a + 3 b) + (- b + a - b)]

3 a - 7 b

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

- b - b = - 2 b

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

- (- a + b) = a - b

- (a + b) = - a - b

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

= a - b - a - b + 2 a - 3 b + a - 2 b

Group like terms

= a - a + 2 a + a - b - b - 3 b - 2 b

Add similar elements:

a - a + 2 a + a = 3 a

= 3 a - b - b - 3 b - 2 b

Add similar elements:

- b - b - 3 b - 2 b = - 7 b

= 3 a - 7 b

\frac{\frac{x ^{2}}{4}}{\frac{x}{4 x + 4}}

\frac{6 x ^{2}}{2}

\frac{x - 5}{x ^{2} + 10 x + 16} + \frac{5 x + 1}{x ^{2} + 7 x + 10}

9 1^{2}

\frac{( \frac{1}{6} + \frac{3}{7} )}{( \frac{2}{3} ) ^{2} + \frac{1}{5} - 1}

What is simplify-(-a+b)+[-(a+b)-(-2a+3b)+(-b+a-b)] ?
The solution to simplify-(-a+b)+[-(a+b)-(-2a+3b)+(-b+a-b)] is 3a-7b