Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4a - 2(3a + 8) = 6}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{4a - 6a - 16 = 6}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a - 16 = 6}}[/tex]

Move 16 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 6 + 16}}[/tex]

Add the numbers: 6 and 16

[tex] \longrightarrow{ \sf{ - 2a = 22}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{22}{ - 2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{a = - 11}}[/tex]

Hope I helped !

Best regards! :D