Simplify (4f+13g)(2w)

$(4 f + 13 g) (2 w)$

Simplify by multiplying through.

Apply the distributive property.

$4 f (2 w) + 13 g (2 w)$

Reorder.

Rewrite using the commutative property of multiplication.

$4 \cdot 2 f w + 13 g (2 w)$

Rewrite using the commutative property of multiplication.

$4 \cdot 2 f w + 13 \cdot 2 g w$

Simplify each term.

Multiply $4$ by $2$ .

$8 f w + 13 \cdot 2 g w$

Multiply $13$ by $2$ .

$8 f w + 26 g w$