What is the solution of 3 (n+2) = 9 (6-n)

3 (n+2) = 9 (6-n)

=>3n+6=54-9n

=>3n+9n=54-6

=>12n=48

=>n=48/12

=>n=4

n = 4

Step-by-step explanation:

Operate using distributive property to free both expressions from the grouping symbols (parentheses):

3 (n+2) = 9 (6-n)

3n + 6 = 54 - 9n

Now add "9n" to both sides to gather all terms with the unknown "n" on one side of the equal sign:

3n + 9n + 6 = 54

12 n + 6 = 54

Now subtract 6 from both sides to have the pure numerical terms on the right hand side of the equation:

12 n = 54 - 6

12 n = 48

Now divide both sides by 12 in order to solve for the unknown "n":

n = 48/12

n = 4