Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     -6*(-6*n+2)-(-228)=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -6n + 2  =   -2 • (3n - 1) 

Equation at the end of step  2  :

  (0 -  -12 • (3n - 1)) -  -228  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   36n + 216  =   36 • (n + 6) 

Equation at the end of step  4  :

  36 • (n + 6)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    36   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 5.2      Solve  :    n+6 = 0 

 Subtract  6  from both sides of the equation : 
                      n = -6

One solution was found :