Respuesta :

Answer:

[tex]z=2m+6[/tex]

Step-by-step explanation:

[tex]3z+6(m-5)=-48\\6(m-5)+48=3z\\6m-30+48=3z\\6m+18=3z\\[/tex]

[tex]\frac{6m+18}{3} =\frac{3z}{3}[/tex]

[tex]2m+6=z[/tex]

Answer:

z = -2(m + 3)

Step-by-step explanation:

Given :

  • 3z + 6(m - 5) = -48

Divide throughout by 3 :

  • 1/3 x (3z + 6(m - 5)) = -48 x 1/3
  • z + 2(m - 5) = -16

Subtract 2(m - 5) on each side :

  • z + 2(m - 5) - 2(m - 5) = -16 - 2(m - 5)
  • z = -16 - 2(m - 5)

Simplify the RHS :

  • z = -16 - 2m + 10
  • z = -2m - 6
  • z = -2(m + 3)