document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540745>Question 540745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the last one that I am struggling with.\r<BR>\n" );
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document.write( "2r-2/ r^2+3r-28 + 4/r+7 = r/r-4\r<BR>\n" );
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document.write( "This should read 2r-2 over r squared plus 3r minus 28 plus 4 over r+7 equals 1 over r-4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353845 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I am assuming the last fraction is 1/(r-4) as you said in the text<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282r-2%29%29%2F%28%28r%5E2%2B3r-28%29%29 ALIGN=MIDDLE  ALT=\"%28%282r-2%29%29%2F%28%28r%5E2%2B3r-28%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28r%2B7%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28r%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28r-4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28r-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Factor the 1st denominator and this will all make sense<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282r-2%29%29%2F%28%28r%2B7%29%28r-4%29%29 ALIGN=MIDDLE  ALT=\"%28%282r-2%29%29%2F%28%28r%2B7%29%28r-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28r%2B7%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28r%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28r-4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28r-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply by (r+7)(r-4), cancels the denominators and you have<BR>\n" );
document.write( "2r - 2 + 4(r-4) = r + 7<BR>\n" );
document.write( "2r - 2 + 4r - 16 = r + 7<BR>\n" );
document.write( "6r - 18 = r + 7<BR>\n" );
document.write( "6r - r = 7 + 18<BR>\n" );
document.write( "5r = 25<BR>\n" );
document.write( "r = 25/5<BR>\n" );
document.write( "r = 5<BR>\n" );
document.write( "You can check this solution in the original equation<BR>\n" );
document.write( " </SPAN>\n" );
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