document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071938>Question 1071938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a negative number, 1/4 of the negative number, 7/16 of the negative number is -13 1/2. What is the negative number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686878 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the negative number.\r<BR>\n" );
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document.write( "-(13 + 1/2) is equal to -27/2\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x + 1/4 * x + 7/16 * x = -27/2\r<BR>\n" );
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document.write( "multiply both sides of this equation by 16 to get:\r<BR>\n" );
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document.write( "16x + 4x + 7x = (-27 * 16) / 2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "27x = (-27 * 16) / 2\r<BR>\n" );
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document.write( "divide both sides of this equation by 27 to get:\r<BR>\n" );
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document.write( "x = (-27 * 16) / (2 * 27)\r<BR>\n" );
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document.write( "the 27 in the numerator and denominator cancel out and you are left with:\r<BR>\n" );
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document.write( "x = -16/2\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = -8\r<BR>\n" );
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document.write( "that should be your number.\r<BR>\n" );
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document.write( "to confirm, replace x in your original equation with -8 to get:\r<BR>\n" );
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document.write( "x + 1/4 * x + 7/16 * x = -27/2 becomes:\r<BR>\n" );
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document.write( "-8 -8/4 - (7*8)/16) = -27/2.\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-8 - 2 - 7/2 = -27/2\r<BR>\n" );
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document.write( "multiply both sides of this equation by 2 to get:\r<BR>\n" );
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document.write( "-16 - 4 - 7 = -27\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-27 = -27\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "your solution is that the negative number you are looking for is equal to -8.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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