Students use dowel rods to learn about equations. They lay several rods, some of which are red and some of which are white, end to end. The length of each red rod is R centimeters, and the length of each white rod is W centimeters. The students determine that the total length of 2 red rods and 7 white rods is the same as the total length of 4 red rods and 3 white rods. Based on this relationship, which of the following equations must be true?

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2 red rods and 7 white rods is the same as 4 red rods and 3 white rods:

$$ 2R + 7W = 4R + 3W $$ $$ 4W = 2R $$ $$ 2W=R $$ $$ \boxed{R=2W} $$