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 :

                     8-(-18+3/8*(16-40*n))=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            8

Equation at the end of step  1  :

                3
  8 -  (-18 +  (— • (16 - 40n)))  = 0 
                8

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   16 - 40n  =   -8 • (5n - 2) 

Equation at the end of step  3  :

  8 -  (-18 +  -3 • (5n - 2))  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   15n + 20  =   5 • (3n + 4) 

Equation at the end of step  5  :

  5 • (3n + 4)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    3n+4 = 0 

 Subtract  4  from both sides of the equation : 
                      3n = -4
Divide both sides of the equation by 3:
                     n = -4/3 = -1.333

One solution was found :