document.write( "Question 69831: Twice the sum of a number and -6 equals -6 times the sum of the number and 4. Let n stand for the number. Solve for n. \n" ); document.write( "

Algebra.Com's Answer #49749 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "Let n=the number\r
\n" ); document.write( "\n" ); document.write( "2(n-6)=twice the sum of the number and -6:\r
\n" ); document.write( "\n" ); document.write( "-6(n+4)=-6 times the sum of the number and 4\r
\n" ); document.write( "\n" ); document.write( "And we are told that the above two quantities are equal. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "2(n-6)=-6(n+4) get rid of parens\r
\n" ); document.write( "\n" ); document.write( "2n-12=-6n-24 add 6n and also 12 to both sides\r
\n" ); document.write( "\n" ); document.write( "2n+6n-12+12=-6n+6n-24+12 collect like terms\r
\n" ); document.write( "\n" ); document.write( "8n=-12 divide both sides by n\r
\n" ); document.write( "\n" ); document.write( "n=-12/8=-3/2=-1.5--------------------------------the number\r
\n" ); document.write( "\n" ); document.write( "ck\r
\n" ); document.write( "\n" ); document.write( "2(-1.5-6)=-6(-1.5+4)
\n" ); document.write( "2(-7.5)=-6(2.5)
\n" ); document.write( "-15=-15\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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