| 02 Sep 79 | r01        | New York JetsNew York Jets | 22 - 25 | Cleveland BrownsCleveland Bro |
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| 09 Sep 79 | r02        | Kansas City ChiefsKansas City C | 24 - 27 | Cleveland BrownsCleveland Bro |
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| 16 Sep 79 | r03        | Cleveland BrownsCleveland Bro | 13 - 10 | Indianapolis ColtsIndianapolis |
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| 25 Sep 79 | r04        | Cleveland BrownsCleveland Bro | 26 - 7 | Dallas CowboysDallas Cowboy |
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| 30 Sep 79 | r05        | Tennessee TitansTennessee Tit | 31 - 10 | Cleveland BrownsCleveland Bro |
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| 07 Oct 79 | r06        | Cleveland BrownsCleveland Bro | 35 - 51 | Pittsburgh SteelersPittsburgh St |
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| 14 Oct 79 | r07        | Cleveland BrownsCleveland Bro | 9 - 13 | Washington CommandersWashington Co |
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| 21 Oct 79 | r08        | Cleveland BrownsCleveland Bro | 28 - 27 | Cincinnati BengalsCincinnati Be |
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| 28 Oct 79 | r09        | Arizona CardinalsArizona Cardi | 20 - 38 | Cleveland BrownsCleveland Bro |
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| 04 Nov 79 | r10        | Philadelphia EaglesPhiladelphia | 19 - 24 | Cleveland BrownsCleveland Bro |
| 11 Nov 79 | r10        | Cleveland BrownsCleveland Bro | 24 - 29 | Seattle SeahawksSeattle Seaha |
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| 18 Nov 79 | r12        | Cleveland BrownsCleveland Bro | 30 - 24 | Miami DolphinsMiami Dolphin |
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| 25 Nov 79 | r13        | Pittsburgh SteelersPittsburgh St | 33 - 30 | Cleveland BrownsCleveland Bro |
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| 02 Dec 79 | r14        | Cleveland BrownsCleveland Bro | 14 - 7 | Tennessee TitansTennessee Tit |
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| 09 Dec 79 | r15        | Las Vegas RaidersLas Vegas Rai | 19 - 14 | Cleveland BrownsCleveland Bro |
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| 16 Dec 79 | r16        | Cincinnati BengalsCincinnati Be | 16 - 12 | Cleveland BrownsCleveland Bro |