What is 4(2z-w)-3(w-2z) ?

The solution to 4(2z-w)-3(w-2z) is 14z-7w

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simplify 4(2z-w)-3(w-2z)

simplify

4 (2 z - w) - 3 (w - 2 z)

14 z - 7 w

Solution steps

4 (2 z - w) - 3 (w - 2 z)

Expand

4 (2 z - w) : 8 z - 4 w

= 8 z - 4 w - 3 (w - 2 z)

Expand

- 3 (w - 2 z) : - 3 w + 6 z

= 8 z - 4 w - 3 w + 6 z

Add similar elements:

- 4 w - 3 w = - 7 w

= 8 z - 7 w + 6 z

Group like terms

= 8 z + 6 z - 7 w

Add similar elements:

8 z + 6 z = 14 z

= 14 z - 7 w

3 \cdot 4^{- 2} + 9 \cdot 8^{- 1}

- 4 x + 3 (2 x - 5)

\frac{1}{1 + x}

(4 c - 3 d) (3 c + d)

sin (3) (x) + cos (2) (x) sin (x)