Question

-40 - 6n= 2(1 + 4n)
n=-13
n=-3
n = Infinite solutions
n=-12

Answer 1

`\huge\boxed{n=-3}`

Explanation:

`-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\\\\(-14n)/(-14)=(42)/(-14)\\\\\boxed{n=-3}`

Answer 2

-3 = n

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