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 :

                     75-(3*(-6*n-5))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -6n - 5  =   -1 • (6n + 5) 

Equation at the end of step  2  :

  75 -  -3 • (6n + 5)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   18n + 90  =   18 • (n + 5) 

Equation at the end of step  4  :

  18 • (n + 5)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    18   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    n+5 = 0 

 Subtract  5  from both sides of the equation : 
                      n = -5

One solution was found :