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The larger of two numbers exceeds twice the smaller number by $8$. The sum of twice the larger number and $3$ times the smaller number is $68$.

If $w$ is the smaller number, which equation below determines the correct model to find $w$?

A

$2(2w-8)+3w=68$

B

$2(2w+8)+3w=68$

C

$(4w+8)+3w=68$

D

$3(2w-8)+2w=68$

E

$3(2w+8)+2w=68$

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