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A rectangular strip of paper has a perimeter of 46 centimeters. If the sum of the length and twice the width is 32 centimeters, find the length of the piece of paper.

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If we let L and W represent the length and width of the paper, then we are given ...

... 2L + 2W = 46 cm

... L + 2W = 32 cm

Subtracting the second equation from the first gives ...

... L = 14 cm

The length of the paper is 14 cm.

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