document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153434>Question 153434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 18-2/11a=5/11a-19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113034 by </B><A HREF=/tutors/aboutme.mpl?userid=sbarbagallo><B>sbarbagallo(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sbarbagallo><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=113034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 18-(2)/(11a)=(5)/(11a)-19\r<BR>\n" );
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document.write( "Since 18 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 18 from both sides.<BR>\n" );
document.write( "-(2)/(11a)=-18+(5)/(11a)-19\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation.<BR>\n" );
document.write( "-(2)/(11a)=-(407a-5)/(11a)\r<BR>\n" );
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document.write( "Since there is one rational expression on each side of the equation, this can be solved as a ratio.  For example, (A)/(B)=(C)/(D) is equivalent to A*D=B*C.<BR>\n" );
document.write( "-2*11a=-(407a-5)*11a\r<BR>\n" );
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document.write( "Since a is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "-(407a-5)*11a=-2*11a\r<BR>\n" );
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document.write( "Multiply -1 by 11a to get -11a.<BR>\n" );
document.write( "-11a(407a-5)=-2*11a\r<BR>\n" );
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document.write( "Multiply -2 by 11a to get -22a.<BR>\n" );
document.write( "-11a(407a-5)=-22a\r<BR>\n" );
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document.write( "Multiply -11a by each term inside the parenthesis (407a-5).<BR>\n" );
document.write( "(-11a(407a)-11a(-5))=-22a\r<BR>\n" );
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document.write( "Complete the multiplication of -11a by each term inside the parenthesis.<BR>\n" );
document.write( "(-4477a^(2)+55a)=-22a\r<BR>\n" );
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document.write( "Remove the parenthesis around the expression -4477a^(2)+55a.<BR>\n" );
document.write( "-4477a^(2)+55a=-22a\r<BR>\n" );
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document.write( "Since -22a contains the variable to solve for, move it to the left-hand side of the equation by adding 22a to both sides.<BR>\n" );
document.write( "-4477a^(2)+55a+22a=0\r<BR>\n" );
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document.write( "Since 55a and 22a are like terms, add 22a to 55a to get 77a.<BR>\n" );
document.write( "-4477a^(2)+77a=0\r<BR>\n" );
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document.write( "Multiply each term in the equation by -1.<BR>\n" );
document.write( "-4477a^(2)*-1+77a*-1=0*-1\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by multiplying out all the terms.<BR>\n" );
document.write( "4477a^(2)-77a=0*-1\r<BR>\n" );
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document.write( "Multiply 0 by -1 to get 0.<BR>\n" );
document.write( "4477a^(2)-77a=0\r<BR>\n" );
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document.write( "Factor out the GCF of 11a from each term in the polynomial.<BR>\n" );
document.write( "11a(407a)+11a(-7)=0\r<BR>\n" );
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document.write( "Factor out the GCF of 11a from 4477a^(2)-77a.<BR>\n" );
document.write( "11a(407a-7)=0\r<BR>\n" );
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document.write( "Set the single term factor on the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "11a=0\r<BR>\n" );
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document.write( "Divide each term in the equation by 11.<BR>\n" );
document.write( "(11a)/(11)=(0)/(11)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "a=(0)/(11)\r<BR>\n" );
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document.write( "0 divided by any number or variable is 0.<BR>\n" );
document.write( "a=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "407a-7=0\r<BR>\n" );
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document.write( "Since -7 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 7 to both sides.<BR>\n" );
document.write( "407a=7\r<BR>\n" );
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document.write( "Divide each term in the equation by 407.<BR>\n" );
document.write( "(407a)/(407)=(7)/(407)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "a=(7)/(407)\r<BR>\n" );
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document.write( "The complete solution is the set of the individual solutions.<BR>\n" );
document.write( "a=0,(7)/(407) </SPAN>\n" );
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