document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62997>Question 62997</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Pleae help me with the following : \r<BR>\n" );
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document.write( "A number is tripled and then the product is increased by 4. This sum is then multiplied by -2 and the result is 16 greater than twice the opposite of the number. What is the number??\r<BR>\n" );
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document.write( "thank yoU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43861 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=43861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number is tripled and then the product is increased by 4. This sum is then multiplied by -2 and the result is 16 greater than twice the opposite of the number. What is the number??<BR>\n" );
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document.write( "Let \"A number\" = x:  It's \"opposite\" = -x<BR>\n" );
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document.write( "Write an expression for each phrase:<BR>\n" );
document.write( "\"A number is tripled and then the product is increased by 4.\"<BR>\n" );
document.write( "That would be: 3x + 4<BR>\n" );
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document.write( "\"This sum is multiplied by -2\"<BR>\n" );
document.write( "That would be -2(3x+4)<BR>\n" );
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document.write( "The word \"is\" usually means equal in these problems<BR>\n" );
document.write( "\" result is 16 greater than twice the opposite of the number\"<BR>\n" );
document.write( " = 2(-x) + 16<BR>\n" );
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document.write( "Put it all together, a simple equation:<BR>\n" );
document.write( "-2(3x + 4) = 2(-x) + 16<BR>\n" );
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document.write( "Multiply what is in brackets:<BR>\n" );
document.write( "-6x - 8 = -2x + 16<BR>\n" );
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document.write( "Basic algebra:<BR>\n" );
document.write( "-6x + 2x = 16 + 8<BR>\n" );
document.write( "-4x = +24<BR>\n" );
document.write( "x = 24/-4<BR>\n" );
document.write( "x = - 6, it's opposite would be +6<BR>\n" );
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document.write( "Check it in our equation x=-6:<BR>\n" );
document.write( "-2(3x + 4) = 2(-x) + 16<BR>\n" );
document.write( "-2(3(-6) + 4) = 2(+6) + 16<BR>\n" );
document.write( "-2(-18 + 4 = 12 + 16<BR>\n" );
document.write( "+36 - 8 = 28<BR>\n" );
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document.write( "How about this? Did it make  sense to you?\r<BR>\n" );
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