Question 69831

Let n=the number

2(n-6)=twice the sum of the number and -6:

-6(n+4)=-6 times the sum of the number and 4

And we are told that the above two quantities are equal.  So our equation to solve is:

2(n-6)=-6(n+4)  get rid of parens

2n-12=-6n-24  add 6n and also 12 to both sides

2n+6n-12+12=-6n+6n-24+12  collect like terms

8n=-12  divide both sides by n

n=-12/8=-3/2=-1.5--------------------------------the number

ck

2(-1.5-6)=-6(-1.5+4)
2(-7.5)=-6(2.5)
-15=-15


Hope this helps----ptaylor