Question

2) -2(7n – 6) +n=-3 - 8n

Answer 1

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 "$-5$"

$\frac{-5n}{-5} =\frac{-15}{-5}$

$n=3$

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

Answer 2

Answer:

n = 3

Step-by-step explanation:

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