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 :

                     30-(-5*(6*n+6))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   6n + 6  =   6 • (n + 1) 

Equation at the end of step  2  :

  30 -  (0 -  30 • (n + 1))  = 0 

Step  3  :

Pulling out like terms :

 3.1      Pull out     30 

Note that  -30 =(-1)• 30 
After pulling out, we are left with :
      30 • ( (-1) +( (-1)  *  (n+1) ))

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -n - 2  =   -1 • (n + 2) 

Equation at the end of step  4  :

  -30 • (n + 2)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -30   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    n+2 = 0 

 Subtract  2  from both sides of the equation : 
                      n = -2

One solution was found :