document.write( "Question 696940: find the value of p if 2(p + 4)= 7p + 2 \n" ); document.write( "
Algebra.Com's Answer #429504 by PRMath(133)\"\" \"About 
You can put this solution on YOUR website!
2(p + 4) = 7p + 2 <---- original problem\r
\n" ); document.write( "\n" ); document.write( "2p + 8 = 7p + 2 <---- distributed the 2 to \"p\" and to \"4\"
\n" ); document.write( "-7p ..... -7p <---- subtracted 7p from both sides of the equation
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\n" ); document.write( "-5p + 8 = 2
\n" ); document.write( " ..... -8 .... -8 <---- subtracted 8 from both sides of the equation
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\n" ); document.write( "-5p = -6\r
\n" ); document.write( "\n" ); document.write( "\"%28-5p%29%2F-5%29\" = \"%28-6%29%2F-5%29\" <----divide both sides by -5 to isolate the 'p'\r
\n" ); document.write( "\n" ); document.write( "p = \"%286%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "Does this work? We can plug in the answer into \"p\" in the original problem.\r
\n" ); document.write( "\n" ); document.write( "2(p + 4) = 7p + 2
\n" ); document.write( "2(\"%286%29%2F%285%29+%2B+4%29\") = 7\"%286%2F5%29\" + 2
\n" ); document.write( "\"%2812%2F5%29\" + 8 = \"%2842%2F5%29\" + 2
\n" ); document.write( "\"%2812%2F5%29\" +\"%2840%2F5%29\" = \"%2842%2F5%29\" + \"%2810%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%2852%2F5%29\" = \"%2852%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "Now we can see that yes, the solution works. :-)\r
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