How many solutions does the equation have? 6h−(9−3h)=6−3(h+2)

 The equation has ONE (1) solution;  which is:

h = ¾ ; or, write as:  0.75  .

Explanation:

Given the equation:

6h − (9 − 3h) = 6 − 3(h + 2) ;

Rewrite as:

↔  6h − (-3h + 9) =  -3(h + 2) + 6 ;

  6h + 3h − 9 = -3(h + 2) + 6 ;

  6h + 3h − 9 =  - (3h + 3*2) + 6 ;

   9h − 9 =  - (3h + 6) + 6 ; 

   9h − 9 = - 3h − 6 + 6 ; 

   9h − 9 = -3h ; 

   (9h − 9) + (-9h) =  -3h + (-9h) ;

       9h − 9 − 9h =  -3h − 9h ;

       9h − 9h − 9 = -12h ; 

       -9 = - 12h ; 

↔   -12h = -9 ; 

-12h / -12 = -9 / -12 ; 

h = 9/12 = (9÷3)/(12÷3) = 3/4 ;

h = ¾ ; or, write as:  0.75.

This is the solution.   There is ONE (1) solution.