#### Answer

$w=2$

#### Work Step by Step

$14+4(w-5)=6-2w$ $\longrightarrow$distributive property
$14+4w-20=6-2w$ $\longrightarrow$simpliy
$4w-6=6-2w$ $\longrightarrow$addition property
$4w-6+2w+6=6-2w+2w+6$ $\longrightarrow$simplify
$6w=12$ $\longrightarrow$multiplication property
$6w\div6=12\div6$ $\longrightarrow$simplify
$w=2$