Respuesta :

Answer:

[tex]\huge\boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}[/tex]

Answer:

-3 = n

Step-by-step explanation:

-40 - 6n= 2(1 + 4n)

Distribute

-40 -6n= 2+8n

Add 6n to each side

-40 -6n+6n = 2+8n+6n

-40 = 2+14n

Subtract 2

-40-2 = 2+14n-2

-42 = 14n

Divide by 14

-42/14 = 14/14

-3 = n