document.write( "Question 211504: 1/2(z-3)=-4/5(z-1/6) \n" ); document.write( "
Algebra.Com's Answer #159830 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2F2%29%28z-3%29=-%284%2F5%29%28z-1%2F6%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29z-%281%2F2%293=-%284%2F5%29z-%284%2F5%29%28-1%2F6%29\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29z-3%2F2=-%284%2F5%29z%2B4%2F30\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29z-3%2F2=-%284%2F5%29z%2B2%2F15\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( " Multiply EVERY term the LCD \"30\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"15z-45=-24z%2B4\" Multiply and simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"15z=-24z%2B4%2B45\" Add \"45\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"15z%2B24z=4%2B45\" Add \"24z\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"39z=4%2B45\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"39z=49\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"z=%2849%29%2F%2839%29\" Divide both sides by \"39\" to isolate \"z\".\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 solution is \"z=49%2F39\" which approximates to \"z=1.256\". \r
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