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 :

                68-(3*(6*r-1)-7*(1-3*r))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  68 -  ((3 • (6r - 1)) -  7 • (1 - 3r))  = 0 

Step  2  :

Equation at the end of step  2  :

  68 -  (3 • (6r - 1) -  7 • (1 - 3r))  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   78 - 39r  =   -39 • (r - 2) 

Equation at the end of step  4  :

  -39 • (r - 2)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -39   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    r-2 = 0 

 Add  2  to both sides of the equation : 
                      r = 2

One solution was found :