document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70902>Question 70902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2(p-3)+6=4p-10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50648 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=50648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28p-3%29%2B6=4p-10 ALIGN=MIDDLE  ALT=\"2%28p-3%29%2B6=4p-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply out 2 times (p - 3) by multiplying 2 times each of the terms in the parentheses.<BR>\n" );
document.write( "When you do this multiplication the result is 2p -6.  Substitute this into the equation<BR>\n" );
document.write( "in place of 2(p-3) to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+-+6+%2B+6+=+4p+-+10 ALIGN=MIDDLE  ALT=\"2p+-+6+%2B+6+=+4p+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Note on the left side that the -6 and the +6 cancel each other out so that the left side<BR>\n" );
document.write( "reduces to just 2p.  The equation is now:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+=+4p+-+10 ALIGN=MIDDLE  ALT=\"2p+=+4p+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The goal is to get all the terms that contain p on the left side. So what we need to <BR>\n" );
document.write( "do is subtract 4p from the left side.  But if we do that, we have to subtract 4p from the<BR>\n" );
document.write( "left side also.  [Whatever we do to one side of the equation, we have to do it to the<BR>\n" );
document.write( "other side too.] By subtracting 4p from both sides we reduce the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2p+=+-10 ALIGN=MIDDLE  ALT=\"-2p+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we have to get rid of the -2 that multiplies p.  We do this by dividing both sides of<BR>\n" );
document.write( "the equation by -2. On the left side the -2 divides into the -2 multiplier of p to become<BR>\n" );
document.write( "just 1.  And 1p is written as just p.  On the right side when the -10 is divided by -2,<BR>\n" );
document.write( "the result is +5. Therefore, the answer is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+5 ALIGN=MIDDLE  ALT=\"p+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can check this answer out by returning to the original equation and replacing p<BR>\n" );
document.write( "by 5.  Then work out both sides of the equation and see if the left side equals the right<BR>\n" );
document.write( "side.  If it does then the solution of p=5 works to keep the equation in balance.<BR>\n" );
document.write( "So first replace p by 5 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285-3%29%2B6=%284%2A5%29-10 ALIGN=MIDDLE  ALT=\"2%285-3%29%2B6=%284%2A5%29-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The 5-3 in parentheses equals 2 and when it is multiplied by the 2 in front of the parens<BR>\n" );
document.write( "the result is 4. So the left side equals 4 + 6.  The 5*4 in the parentheses on the right <BR>\n" );
document.write( "side becomes 20. So the right side equals 20 -10.  In equation form this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+6+=+20+-+10 ALIGN=MIDDLE  ALT=\"4+%2B+6+=+20+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Obviously the left side is 10 and so is the right side.  Therefore p = 5 is a solution to<BR>\n" );
document.write( "the original equation.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how you use algebraic steps to work the<BR>\n" );
document.write( "problem out to a solution.<BR>\n" );
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