document.write( "Question 127514: 1\3(r+6)=1\6(r+8) \n" ); document.write( "
Algebra.Com's Answer #93455 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29%28r%2B6%29=%281%2F6%29%28r%2B8%29\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%286%29%28%281%2F3%29%28r%2B6%29%29=%286%29%28%281%2F6%29%28r%2B8%29%29\" Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"2%28r%2B6%29=1%28r%2B8%29\" Distribute and multiply the LCM to each side\r
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\n" ); document.write( "\n" ); document.write( "\"2r%2B12=1r%2B8\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"2r=r%2B8-12\"Subtract 12 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2r-r=8-12\" Subtract r from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"r=8-12\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"r=-4\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"r=-4\" \r
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