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a 28 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than six times the length of the first piece. Find the lengths of the pieces

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where x is the length of the first piece

x + 2x + 6x + 1 = 28 \\ \\ 9x = 27 \\ \\ x = 3
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches
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