Question

2) -2(7n – 6) +n=-3 - 8n

Answer 1

n = 3

Explanation:

`-2(7n-6)+n=-3-8n\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(7n)+(-2)(-6)+n=-3-8n\\\\-14n+12+n=-3-8n\qquad\text{subtract 12 from both sides}\\\\(-14n+n)+12-12=-3-12-8n\\\\-13n=-15-8n\qquad\text{add}\ 8n\ \text{to both sides}\\\\-13n+8n=-15-8n+8n\\\\-5n=-15\qquad\text{divide both sides by (-5)}\\\\(-5n)/(-5)=(-15)/(-5)\\\\\huge\boxed{n=3}`

Answer 2

Answer and Step-by-step explanation:

For this equation the answer is :
`n=3`

Step 1 : Simplify both the sides of the equation :

`-2(7n-6)+n=-3-8n`

`(-2)(7n)+(-2)(-6)+n=-3+-8n` (Distribute)

`-14n+12+n=-3+-8n`

`(-14n+n)+(12)=-8n-3` (Combine the like terms)

`-13n+12=-8n-3`

`-13n+12=-8n-3`

Step 2 : Add "
`8n`" to both the sides :

`-13n+12+8n=-8n-3+8n`

`-5n+12=-3`

Step 3 : Subtract "
`12`" from both the sides :

`-5n+12-12=-3-12`

`-5n=-15`

Step 4 : Divide both the sides by "
`-5`"

`(-5n)/(-5) =(-15)/(-5)`

`n=3`

That's your final answer :
`n=3`