how to solve: -[-|-3|(-2-m)-4]=-2[(-3-m)-2m]

Question

-[-|-3|(-2-m)-4]=-2[9-3-m)-2m]

Answer 1

Simplifying the left side:

 

 - [ - |-3|(-2 - m) - 4 ] =

 

 - [ - 3(-2 - m) - 4 ] =

 

 - [ 6 + 3m - 4 ] =

 

 - [ 2 + 3m ] =

 

-2 - 3m

 

Simplifying the right side:

 

  -2 [ (-3 - m) - 2m ] =

 

  -2 [ -3 - m - 2m ] =

 

 -2 [ -3 - 3m ] =

 

 6 + 6m

 

Solving the equation:

 

  -2 - 3m = 6 + 6m

 

 0 = 6 + 6m + 2 + 3m

 

 0 = 9m + 8

 

 -8 = 9m

 

-8/9 = m

 

Check:

 

  Left side:  - [ - |-3| ( -2 - (-8/9)) - 4 ] =

 

                 - [ - (3) ( -2 + 8/9) - 4 ] =

 

                - [ (-3) ( -10/9) - 4 ] =

 

                = - [  30/9 - 4 ] 

 

                = - [ 30/9 - 36/9 ]

 

                = - ( -6/9)

 

                = 2/3

 

 Right side:

      

     -2 [ (-3 - (-8/9) - 2(-8/9)] =

 

   -2 [ (-3 + 8/9 + 16/9 ] =

 

 - 2 [  -3 + 24/9 ] =

 

  -2 [ -27/9 + 24/9 ] =

 

 -2[ -3/9 ] =

 

 6/9 =

 

 2/3

 

The answer of m = -8/9 is verified, checked, and proven to be correct

Answer 2

-[-|-3|(-2-m)-4]=-2[(-3-m)-2m]

 

-[-(3)(-2-m)-4] =-2[-3-m-2m]

 

-[-3(-2-m)-4 ]=-2[3-3m]

 

-[6+3m -4] =-6 +6m

 

-[3m-2] = -6+6m

 

-3m +2 =-6+6m

 

8 =9m

 

8/9 =m