document.write( "Question 165615This question is from textbook Amscos Integrated Algebra 1
\n" ); document.write( ": 1/2t-6+8(t-9+7)=4t*3-5+2+3/4t \n" ); document.write( "
Algebra.Com's Answer #122082 by jim_thompson5910(35256)\"\" \"About 
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\"%281%2F2%29t-6%2B8%28t-9%2B7%29=4t%2A3-5%2B2%2B%283%2F4%29t\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29t-6%2B8%28t-9%2B7%29=12t-5%2B2%2B%283%2F4%29t\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29t-6%2B8t-72%2B56=12t-5%2B2%2B%283%2F4%29t\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"4%28%281%2Fcross%282%29%29t-6%2B8t-72%2B56%29=4%2812t-5%2B2%2B%283%2Fcross%284%29%29t%29\" Multiply both sides by the LCD \"4\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"2t-24%2B32t-288%2B224=48t-20%2B8%2B3t\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"-88%2B34t=48t-20%2B8%2B3t\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-88%2B34t=-12%2B51t\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"34t=-12%2B51t%2B88\" Add \"88\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"34t-51t=-12%2B88\" Subtract \"51t\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-17t=-12%2B88\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-17t=76\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"t=%2876%29%2F%28-17%29\" Divide both sides by \"-17\" to isolate \"t\".\r
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\n" ); document.write( "\n" ); document.write( "\"t=-76%2F17\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"t=-76%2F17\" which approximates to \"t=-4.471\".
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