Question

Which value of g makes 26 = 7(g-9) + 12

Answer 1

Answer: 11

Step-by-step explanation:

Rearrange:

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

                    26-(7*(g-9)+12)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 26 -  (7 • (g - 9) +  12)  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  77 - 7g  =   -7 • (g - 11)  

Equation at the end of step  3  :

 -7 • (g - 11)  = 0  

Step  4  :

Equations which are never true :

4.1      Solve :    -7   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    g-11 = 0  

Add  11  to both sides of the equation :  

                     g = 11

One solution was found :

                  g = 11

Answer 2

Answer: g=11

Step-by-step explanation:

>7(g-9)+12=26

>7(g-9)=14(subtract 12 from both sides)

>g-9=2(divide both sides by 7)

g=11(add 9 to both sides