Simplify -2w(3x-2y)

$- 2 w (3 x - 2 y)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$- 2 w (3 x) - 2 w (- 2 y)$

Reorder.

Rewrite using the commutative property of multiplication.

$- 2 \cdot 3 w x - 2 w (- 2 y)$

Rewrite using the commutative property of multiplication.

$- 2 \cdot 3 w x - 2 \cdot - 2 w y$

Step 2

Simplify each term.

Multiply $- 2$ by $3$ .

$- 6 w x - 2 \cdot - 2 w y$

Multiply $- 2$ by $- 2$ .

$- 6 w x + 4 w y$