Respuesta :

Answer:

z = -3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex](z+6)

Expand and cancel out brackets.

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z +

Simplify.

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z + 9

Isolate x and numbers.

[tex]\frac{3}{2}[/tex]z - [tex]\frac{1}{2}[/tex]z = 6-9

Simplify.

[tex]\frac{2}{2}[/tex]z = -3

z = -3

Answer:

z=−3

Step-by-step explanation:

1/2*z+6-(3/2*(z+6))=0

Simplify 3/2

1                3

 ((— • z) +  6) -  (— • (z + 6))  = 0  

   2                2

     

Simplify   1/2

Rewrite the whole as 6.1     Pull out like factors :

  -2z - 6  =   -2 • (z + 3)  a fraction using  2  as the denominator.

-z - 3  = 0

7.1      Solve  :    -z-3 = 0  

Add  3  to both sides of the equation :  

                     -z = 3

Multiply both sides of the equation by (-1) :  z = -3