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 :

                     42-(7*r)=0 

Step by step solution :

Step  1  :

Pulling out like terms :

 1.1     Pull out like factors :

   42 - 7r  =   -7 • (r - 6) 

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

 2.1      Solve :    -7   =  0

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

Solving a Single Variable Equation :

 2.2      Solve  :    r-6 = 0 

 Add  6  to both sides of the equation : 
                      r = 6

One solution was found :