Translate the following phrase into an algebraic expression using the variable w. Do not simplify.

Translate the following phrase into an algebraic expression using the variable wi. Do not simplify.

the perimeter of a rectangle if the width is w centimeters and the length is 2cm less than twice the width.

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\(P_{rect}=2(wi+ l)\\ l=2\cdot wi-2cm\\ P_{rect}=2(wi+2\cdot wi-2cm)\)

\(P_{rect}=2(3wi-2cm)\)

\(w\ is\ a\ number \\ \color{BrickRed}if\ wi=w\ cm\\ then\\ P_{rect}=2\cdot (3\cdot w\ cm-2\ cm)=6w\ cm-4\ cm\\ \color{BrickRed}P_{rect}=6w\ cm-4\ cm \)

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