3n+6=9n+54

Solution for 3n+6=9n+54 equation:

Simplifying
3n + 6 = 9n + 54

Reorder the terms:
6 + 3n = 9n + 54

Reorder the terms:
6 + 3n = 54 + 9n

Solving
6 + 3n = 54 + 9n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-9n' to each side of the equation.
6 + 3n + -9n = 54 + 9n + -9n

Combine like terms: 3n + -9n = -6n
6 + -6n = 54 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -6n = 54 + 0
6 + -6n = 54

Add '-6' to each side of the equation.
6 + -6 + -6n = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -6n = 54 + -6
-6n = 54 + -6

Combine like terms: 54 + -6 = 48
-6n = 48

Divide each side by '-6'.
n = -8

Simplifying
n = -8