document.write( "Question 892130: Problem 1: |3m+10| =m+6 \r
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\n" ); document.write( "\n" ); document.write( "Problem 2: 2|n+6|=7n-3 \n" ); document.write( "

Algebra.Com's Answer #540305 by robertb(5830) $\"\"$ $\"About$

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Problem 1: Square both sides:
\n" ); document.write( " $\"%283m%2B10%29%5E2+=+%28m%2B6%29%5E2\"$
\n" ); document.write( "==> $\"9m%5E2+%2B60m+%2B+100+=+m%5E2+%2B12m+%2B36\"$
\n" ); document.write( "<==> $\"8m%5E2+%2B+48m+%2B64+=+0\"$
\n" ); document.write( "<==> $\"m%5E2+%2B6m+%2B+8+=+0\"$
\n" ); document.write( "<==> (m+2)(m+4) = 0 ==> m = -2, -4, which are found to satisfy the original equation after a quick check.\r
\n" ); document.write( "\n" ); document.write( "Problem 2 is done in a similar fashion. \n" ); document.write( "

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