document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166072>Question 166072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -2[7d] = -14\r<BR>\n" );
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document.write( "The bar is a straight line, and I don't know how to type it. It is called the <BR>\n" );
document.write( "absolute bar.\r<BR>\n" );
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document.write( "THanks for your help!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122360 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=122360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> just to the right of where you typed ] there should be another key that has a vertical line over a backslash.<BR>\n" );
document.write( "the vertical line is the absolute value symbol |<BR>\n" );
document.write( "the backslash looks like this: \<BR>\n" );
document.write( "the | is upper case.<BR>\n" );
document.write( "the \ is lower case.<BR>\n" );
document.write( "it may not look like one single line.  it might look like two smaller vertical lines separated by a space in the middle.<BR>\n" );
document.write( "hit the key and it should be a solid line on your screen.<BR>\n" );
document.write( "on my keyboard it's the last key on the right below the backspace key and above the return key.<BR>\n" );
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document.write( "your problem states that -2 * |7d| = -14<BR>\n" );
document.write( "divide both sides of the equation by -2.<BR>\n" );
document.write( "equation becomes:<BR>\n" );
document.write( "|7d| = 14<BR>\n" );
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document.write( "since 7d is within the absolute value sign, then d can be either positive or negative.  the absolute value of d will always be positive.<BR>\n" );
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document.write( "id d is positive, then |7d| = 7d<BR>\n" );
document.write( "if d is negative, then |7d| = -7d<BR>\n" );
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document.write( "solve for when d is positive.<BR>\n" );
document.write( "then solve for when d is negative.<BR>\n" );
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document.write( "when d is positive,<BR>\n" );
document.write( "7d = 7<BR>\n" );
document.write( "d = 1<BR>\n" );
document.write( "when d is negative,<BR>\n" );
document.write( "-7d = 7<BR>\n" );
document.write( "-d = 1<BR>\n" );
document.write( "d = -1<BR>\n" );
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document.write( "your answer is:<BR>\n" );
document.write( "d +/-1<BR>\n" );
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document.write( "to prove, substitute in original equation<BR>\n" );
document.write( "first for when d is positive<BR>\n" );
document.write( "d = 1<BR>\n" );
document.write( "-2*|7*1| = -2*|7| = -2*(+7) = -14<BR>\n" );
document.write( "next for when d is negative<BR>\n" );
document.write( "d = -1<BR>\n" );
document.write( "-2*|7*(-1)| = -2*|-7| = -2*(-(-7)) = -2*(+7) = -14<BR>\n" );
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document.write( "whether or not d was +1, or -1, the answer was the same because the absolute value of a positive number is a positive number, and the absolute value of a negative number is a positive number.<BR>\n" );
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document.write( "good luck with finding your | key.\r<BR>\n" );
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