Answer
$w=-30$
Work Step by Step
$7(6+w)=6(2+w)$ $\longrightarrow$distributive property
$42+7w=12+6w$ $\longrightarrow$addition property
$42+7w-42-6w=12+6w-42-6w$ $\longrightarrow$simplify
$w=-30$
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