document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65204>Question 65204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x-2[y-2(x+3[2x+3y])]<BR>\n" );
document.write( "simplify </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45751 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x - 2[y - 2(x + 3[2x + 3y])]<BR>\n" );
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document.write( "Look for the first innermost pair of grouping symbols, that is, grouping symbols which contain no grouping symbols. we find the [2x + 3y].  We notice that there is nothing we can do inside of it.  We now notice that it has a +3 just before it.  So we remove those grouping symbols by using the distributive <BR>\n" );
document.write( "principle and we replace the \"+ 3[2x + 3y]\" by \"+ 6x + 9y\":<BR>\n" );
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document.write( "3x - 2[y - 2(x + 6x + 9y)]<BR>\n" );
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document.write( "Now we look for the first innermost pair of grouping symbols, that is, grouping symbols which contain no grouping symbols. we find the [x + 6x + 9y}.  We notice that there is something we can do inside of it.  We can combine the like terms x and 6x, since x + 6x equals 7x. So we replace the \"[x + 6x + 9y]\" by \"[7x + 9y]:<BR>\n" );
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document.write( "3x - 2[y - 2(7x + 9y)]<BR>\n" );
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document.write( "Look for the first innermost pair of grouping symbols, that is, grouping symbols which contain no grouping symbols. we find the [7x + 9y].  We notice that there is nothing we can do inside of it.  We now notice that it has a \"- 2\" just before it.  So we use the distributive principle and replace the <BR>\n" );
document.write( "\"- 2(7x + 9y)\" by \"- 14x - 18y\":<BR>\n" );
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document.write( "3x - 2[y - 14x - 18y]<BR>\n" );
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document.write( "Now we look for the first innermost pair of grouping symbols, that is, grouping symbols which contain no grouping symbols. we find the [y - 14x - 18y}.  We notice that there is something we can do inside of it.  We can combine the like terms y and \"- 18y\", since y - 18y equals -17y. So we replace [y - 14x - 18y] by \"[-14x - 17y]:<BR>\n" );
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document.write( "3x - 2[-14x - 17y]<BR>\n" );
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document.write( "Look for the first innermost pair of grouping symbols, that is, grouping symbols which contain no grouping symbols. we find the [-14x - 17y].  We notice that there is nothing we can do inside of it.  We now notice that it has a \"- 2\" just before it.  So we use the distributive principle and replace the <BR>\n" );
document.write( "\"- 2(- 14x - 18y] by \"+ 14z + 34y\":<BR>\n" );
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document.write( "3x + 28x + 34y<BR>\n" );
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document.write( "Now when we look for the innermost pair of grouping symbols, we find none. So we look for terms to combine. We replace the 3x + 28x by 31x and we have<BR>\n" );
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document.write( "31x + 34y.<BR>\n" );
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document.write( "Nthing else can be done so that is the answer in the simplest form.<BR>\n" );
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document.write( "Edwin </SPAN>\n" );
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