What is simplify-(-9q+3r)+6r-2(-4r+9q) ?

The solution to simplify-(-9q+3r)+6r-2(-4r+9q) is -9q+11r

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simplify-(-9q+3r)+6r-2(-4r+9q)

simplify

- (- 9 q + 3 r) + 6 r - 2 (- 4 r + 9 q)

- 9 q + 11 r

Solution steps

- (- 9 q + 3 r) + 6 r - 2 (- 4 r + 9 q)

Apply the distributive law:

- (- a + b) = a - b

- (- 9 q + 3 r) = 9 q - 3 r

= 9 q - 3 r + 6 r - 2 (- 4 r + 9 q)

Expand

- 2 (- 4 r + 9 q) : 8 r - 18 q

= 9 q - 3 r + 6 r + 8 r - 18 q

Add similar elements:

- 3 r + 6 r + 8 r = 11 r

= 9 q + 11 r - 18 q

Group like terms

= 9 q - 18 q + 11 r

Add similar elements:

9 q - 18 q = - 9 q

= - 9 q + 11 r

(4 x - 3 y)^{5}

(- 2 x^{2})^{3} (4 x^{3})^{- 1}

9 x - 2 + 3 x - 5

(\frac{1}{2} - 3 a)^{4}

- ∣ 15 ∣

What is simplify-(-9q+3r)+6r-2(-4r+9q) ?
The solution to simplify-(-9q+3r)+6r-2(-4r+9q) is -9q+11r