Question 980171


2(3n(n-2)) = 3(2n(n-1) + 12,


2*(3n^2 - 6n) = 3*(2n^2 -2n) + 12,


6n^2 - 12n = 6n^2 - 6n + 12.


-6n = 12.


n = -2.


<B><U>Check</U></B>: &nbsp;Left side is 2*3*(-2)*(-4) = 48. &nbsp;&nbsp;Right side is 3*2*(-2)*(-3) + 12 = 36 + 12 = 48. &nbsp;&nbsp;Both sides are the same. 


<B>Answer</B>. &nbsp;The solution is &nbsp;n = -2.