document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111524>Question 111524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to understand how to break this question: <BR>\n" );
document.write( "Two thirds of a number reduced by 11 is equal to 4 more than the number. Find that number. I need to know how to break this problem in order to solve it.<BR>\n" );
document.write( "question 2:<BR>\n" );
document.write( "Also, I need help with this question:<BR>\n" );
document.write( "Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. What is the number?\r<BR>\n" );
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document.write( "question 3: 1/2 (6-Z)=Z<BR>\n" );
document.write( "Question 4: 2 (a-8)=7=5(a+2)-3a-19.<BR>\n" );
document.write( "Thank you for in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81314 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by assigning a variable to the number you want to find.  Let's call it n.  Now let's write an expression for the relationship that was described.<BR>\n" );
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document.write( "First, we need an expression for two thirds of the number.  This is simply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29n ALIGN=MIDDLE  ALT=\"%282%2F3%29n\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Then we need to reduce that amount by 11.  That gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29n-11 ALIGN=MIDDLE  ALT=\"%282%2F3%29n-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Four more than the number is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B4 ALIGN=MIDDLE  ALT=\"n%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  And finally, the problem tells us that these two quantities are equal, so:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B4=%282%2F3%29n-11 ALIGN=MIDDLE  ALT=\"n%2B4=%282%2F3%29n-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "All that is left is to solve the equation for n:<BR>\n" );
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document.write( "Add -4 to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%282%2F3%29n-15 ALIGN=MIDDLE  ALT=\"n=%282%2F3%29n-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Add -(2/3)n to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-%282%2F3%29n=-15 ALIGN=MIDDLE  ALT=\"n-%282%2F3%29n=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29n=-15 ALIGN=MIDDLE  ALT=\"%281%2F3%29n=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply both sides by 3:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-45 ALIGN=MIDDLE  ALT=\"n=-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Last step -- VERY IMPORTANT -- Check your answer.<BR>\n" );
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document.write( "Two thirds of -45 is -30, reduced by 11 is -30 - 11=-41<BR>\n" );
document.write( "Four more than -45 is -45 + 4 = -41<BR>\n" );
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document.write( "The answer checks! </SPAN>\n" );
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