Respuesta :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for w :

  • [tex] \dfrac{2w + 4}{2} = 6 - w[/tex]

  • [tex]2w + 4 = 2( 6- w)[/tex]

  • [tex]2w + 4 = 12 - 2w[/tex]

  • [tex]2 w+ 2w = 12 - 4[/tex]

  • [tex]4w = 8[/tex]

  • [tex]w = 8 \div 4[/tex]

  • [tex]w = 2[/tex]

hence , value of w = 2 ~

Answer:

Choice d. w = 2 is correct

Step-by-step explanation:

[tex] \\ \frac{2w + 4}{2} = 6 - w[/tex]

[tex] \\ \mapsto2w + 4 = 2(6 - w)[/tex]

[tex] \\ \mapsto2w + 4 = 12 - 2w[/tex]

[tex] \\ \mapsto2w + 2w = 12 - 4[/tex]

[tex] \\ \mapsto4w = 8[/tex]

[tex] \\ \mapsto \: w = \frac{8}{4} [/tex]

[tex] \\ \mapsto \: w = 2[/tex]

Thus, the value of w is 2