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Solution - Linear equations with one unknown

b=6
b=6

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.75" was replaced by "(75/100)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                (75/100)*(8*b+4)-1-(4*b+14)=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            4

Equation at the end of step  1  :

    3                      
  ((— • (8b + 4)) -  1) -  (4b + 14)  = 0 
    4                      

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   8b + 4  =   4 • (2b + 1) 

Equation at the end of step  3  :

  (3 • (2b + 1) -  1) -  (4b + 14)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2b - 12  =   2 • (b - 6) 

Equation at the end of step  5  :

  2 • (b - 6)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    b-6 = 0 

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

One solution was found :

                   b = 6

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