document.write( "Question 1156992: If the product of a number and -7 is reduced by 3, the result is 33 less than twice the oposite number. What is the number? \n" ); document.write( "

Algebra.Com's Answer #779816 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If the product of a number and -7 is reduced by 3, the result is 33 less than twice the opposite number.
\n" ); document.write( " What is the number?
\n" ); document.write( ":
\n" ); document.write( "let n = the number
\n" ); document.write( "then
\n" ); document.write( "-n = the opposite number
\n" ); document.write( ":
\n" ); document.write( "-7n - 3 = 2(-n) - 33
\n" ); document.write( "-7n = - 2n - 33 + 3
\n" ); document.write( "-7n + 2n = -30
\n" ); document.write( "-5n = -30
\n" ); document.write( "n = -30/-5
\n" ); document.write( "n = +6
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this in the original equation
\n" ); document.write( "-7(6) - 3 = 2(-6) - 33
\n" ); document.write( "-42 - 3 = -12 - 33
\n" ); document.write( "-45 = -45 \n" ); document.write( "

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