document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619685>Question 619685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 0.3(2r-3)=0.2r+0.9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389775 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "Solve for r.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3%282r-3%29=0.2r%2B0.9 ALIGN=MIDDLE  ALT=\"0.3%282r-3%29=0.2r%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First, distribute 0.3 across the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6r-0.9=0.2r%2B0.9 ALIGN=MIDDLE  ALT=\"0.6r-0.9=0.2r%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we will rewrite this equation as a series of equivalent equations until we have isolated the variable r.<BR>\n" );
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document.write( "Combine like terms. Let's combine the variables on the left side of the equation. Subtract 0.2r from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6r-0.2r-0.9=0.2r-0.2r%2B0.9 ALIGN=MIDDLE  ALT=\"0.6r-0.2r-0.9=0.2r-0.2r%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4r-0.9=0.9 ALIGN=MIDDLE  ALT=\"0.4r-0.9=0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the constant terms on the right side of the equation. Add 0.9 to both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4r-0.9%2B0.9=0.9%2B0.9 ALIGN=MIDDLE  ALT=\"0.4r-0.9%2B0.9=0.9%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4r=1.8 ALIGN=MIDDLE  ALT=\"0.4r=1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We want to know the value of 1r so we divide both sides of the equation by the coefficient of r; that is 0.4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.4r%29%2F0.4=1.8%2F0.4%0D%0A%7B%7B%7Br=4.5 ALIGN=MIDDLE  ALT=\"%280.4r%29%2F0.4=1.8%2F0.4%0D%0A%7B%7B%7Br=4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can check our work by substituting 4.5 for r in the original equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3%282r-3%29=0.2r%2B0.9 ALIGN=MIDDLE  ALT=\"0.3%282r-3%29=0.2r%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3%282%284.5-3%29%29=0.2%284.5%29%2B0.9 ALIGN=MIDDLE  ALT=\"0.3%282%284.5-3%29%29=0.2%284.5%29%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3%289-3%29=0.9%2B0.9 ALIGN=MIDDLE  ALT=\"0.3%289-3%29=0.9%2B0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3%286%29=1.8 ALIGN=MIDDLE  ALT=\"0.3%286%29=1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8=1.8 ALIGN=MIDDLE  ALT=\"1.8=1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This result shows that r=1.8 is the solution.<BR>\n" );
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document.write( "Hope this helps. Feel free to email if you have questions about this solution,<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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