document.write( "Question 967099: Please help me with this problem: Two fifths of the sum of a number and 4, plus -7 is -16. Write an equation that can be used to determine the number and then determine the number. \n" ); document.write( "
Algebra.Com's Answer #591095 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Two fifths of the sum of a number and 4, plus -7 is -16.
\n" ); document.write( "Just write an equation for exactly what it says
\n" ); document.write( "\"2%2F5\"(n + 4) + (-7) = 16
\n" ); document.write( "which is
\n" ); document.write( "\"2%2F5\"(n +4) - 7 = 16
\n" ); document.write( "Get rid of the fraction, multiply each by 5
\n" ); document.write( "2(n + 4) - 35 = 80
\n" ); document.write( "2n + 8 - 35 = 80
\n" ); document.write( "2n - 27 = 80
\n" ); document.write( "2n = 80 + 27
\n" ); document.write( "2n = 107
\n" ); document.write( "n = 107/2
\n" ); document.write( "n = 53.5
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "See if that works in the original equation, use .4 for 2/5
\n" ); document.write( ".4(53.5 +4) + (-7) = 16
\n" ); document.write( ".4(57.5) - 7 = 16
\n" ); document.write( "23 - 7 = 16 \n" ); document.write( "
\n" );