document.write( "Question 1190704: translate the given verbal expression into algebraic expression.
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Algebra.Com's Answer #822419 by ikleyn(52787)\"\" \"About 
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document.write( "The literal translation is\r\n" );
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document.write( "    \"%283%2F5%29n\" + \"%281%2F4%29%28n%2B1%29\" = 13.\r\n" );
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document.write( "When translate in this way, you must check if it makes sense:\r\n" );
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document.write( "you should check that such integer number n does really exist.\r\n" );
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document.write( "For it, solve equation\r\n" );
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document.write( "    \"%283%2F5%29n\" + \"%281%2F4%29%28n%2B1%29\" = 13.\r\n" );
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document.write( "Multiply both sides by 4*5 = 20\r\n" );
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document.write( "    12n + 5(n+1) = 13*20\r\n" );
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document.write( "    12n + 5n = 260 - 5\r\n" );
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document.write( "       17n   =    255\r\n" );
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document.write( "         n   =     255/17 = 15.\r\n" );
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document.write( "You get this integer number n= 15, and it confirms that the translation does make sense.\r\n" );
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