Final answer:
To check the given equation, substitute a value for n and see if both sides yield the same result. In this case, the equation is false for any value of n.
Step-by-step explanation:
To check if the given equation 3(n+2)=9(6-n) is true, we can substitute a value for n and see if both sides of the equation yield the same result. Let's try n=1:
3(1+2) = 9(6-1)
3(3) = 9(5)
9 = 45
Since 9 is not equal to 45, the equation is false. Therefore, the equation 3(n+2)=9(6-n) is not true for any value of n.