document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40343>Question 40343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following equations.\r<BR>\n" );
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document.write( "Solving a linear equation with several occurances of the variable. Simply your answer as much as possible.<BR>\n" );
document.write( "Solve the following for w<BR>\n" );
document.write( "2(w- 3)+2w = 14\r<BR>\n" );
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document.write( "Solve for x. Write your response as a fraction in lowest terms.<BR>\n" );
document.write( "7/4x + 4/3 = 1/4x + 7\r<BR>\n" );
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document.write( "Solve the following equation for x. Simply our anwser as much as possible.<BR>\n" );
document.write( "-5(x + 8) = 4x + 32\r<BR>\n" );
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document.write( "Solve the following for x. Write your answer as a reduced fraction<BR>\n" );
document.write( "-2(x-4)+7=-6(8x-6)+x\r<BR>\n" );
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document.write( "Solve the following equation for t. Simply your answer as much as possible.<BR>\n" );
document.write( "8t-4/5 + 9t-2/2=47\r<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 #26652 by </B><A HREF=/tutors/aboutme.mpl?userid=zeynep><B>zeynep(43)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=zeynep><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=26652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2(w- 3)+2w = 14 (by using distriutive property we remove the parantheses first)\r<BR>\n" );
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document.write( "2w-6+2w=14 (add the w terms on the left side)<BR>\n" );
document.write( "4w-6 = 14  (add additive inverse of -6 to both sides to leave w term alone)<BR>\n" );
document.write( "4w-6+6=14+6<BR>\n" );
document.write( "4w = 40 (divide both sides by 4, to leav w alone)<BR>\n" );
document.write( "4w/4=40/4<BR>\n" );
document.write( "w=10\r<BR>\n" );
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document.write( "-5(x + 8) = 4x + 32 (by using distriutive property we remove the parantheses first)<BR>\n" );
document.write( "-5x-40=4x+32         (get all x terms on one side)<BR>\n" );
document.write( "-5x-40-4x= 4x+32-4x<BR>\n" );
document.write( "-9x-40=32     (add additive inverse of -40 to both sides to leave x term alone)<BR>\n" );
document.write( "-9x-40+40=32+40<BR>\n" );
document.write( "-9x=72         (divide both sides by -9 to leave x alone)<BR>\n" );
document.write( "-9x/9=72/(-9)<BR>\n" );
document.write( "x=-8\r<BR>\n" );
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document.write( "-2(x-4)+7=-6(8x-6)+x  (by using distriutive property we remove the parantheses first)<BR>\n" );
document.write( "-2x+8+7=-48x+36+x   <BR>\n" );
document.write( "-2x+15=-47x+36    (get all x terms on one side)<BR>\n" );
document.write( "-2x+15+47x=-47x+36+47x<BR>\n" );
document.write( "45x+15=36        (add additive inverse of 15 to both sides to leave x term alone)<BR>\n" );
document.write( "45x+15-15=36-15<BR>\n" );
document.write( "45x=21           (divide both sides by 45 to leave x term alone)<BR>\n" );
document.write( "45x/45=21/45<BR>\n" );
document.write( "x=21/45\r<BR>\n" );
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document.write( "7/4x + 4/3 = 1/4x + 7  (get all x terms on one side)<BR>\n" );
document.write( "7/4x+4/3-1/4x=1/4x+7-1/4x<BR>\n" );
document.write( "6/4x+4/3=7         (add additive inverse of 4/3 to both sides)<BR>\n" );
document.write( "6/4x+4/3-4/3=7-4/3<BR>\n" );
document.write( "6/4x=17/3       (divide both sides by 6/4 to leave x alone)<BR>\n" );
document.write( "x= (17/3)/(6/4)<BR>\n" );
document.write( "x=34/9\r<BR>\n" );
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document.write( "8t-4/5 + 9t-2/2=47 \r<BR>\n" );
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document.write( "I understand this question as: (8t-4)/5 + (9t-2)/2=47 <BR>\n" );
document.write( "To get rid of those fractions, multiply both sides by the LCD of 10;\r<BR>\n" );
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document.write( "10.((8t-4)/5 + (9t-2)/2 )= 10.47<BR>\n" );
document.write( "10.(8t-4)/5 + 10.(9t-2)/2 =470<BR>\n" );
document.write( "2.(8t-4)+5.(9t-2)=470      ( by using distriutive property we remove the parantheses )<BR>\n" );
document.write( "16t-8+45t-10=470<BR>\n" );
document.write( "61t-18=470  (add additive inverse of -18 to both sides)<BR>\n" );
document.write( "61t-18+18=470+18<BR>\n" );
document.write( "61t=488 (divide both sides 61)<BR>\n" );
document.write( "61t/61=488/61<BR>\n" );
document.write( "t=8\r<BR>\n" );
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