Respuesta :

Answer:

2(4b - 6) = 4(3b - 7)

This is

8b - 12 = 12b - 28

Now,

16 = 4b

This means that b = 4 :)

Answer:

[tex]\boxed {b = 4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]b[/tex]:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

-Use Distributive Property:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

[tex]8b - 12 = 12b - 28[/tex]

-Take [tex]12b[/tex] and subtract it from [tex]8b[/tex]:

[tex]8b - 12 - 12b = 12b - 12b - 28[/tex]

[tex]-4b - 12 = -28[/tex]

-Add [tex]12[/tex] to both sides:

[tex]-4b - 12 + 12 = -28 + 12[/tex]

[tex]-4b = -16[/tex]

-Divide both sides by [tex]-4[/tex]:

[tex]\frac{-4b}{-4} = \frac{-16}{-4}[/tex]

[tex]\boxed {b = 4}[/tex]

So. therefore, the value of [tex]b[/tex] is [tex]4[/tex].