Question

What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?

Answer 1

-2n - 4 + 6 = -9 + 8n + 4

6n = 9 - 4 - 4 + 6 = 7

n = 7/6

Answer 2

Solution:

The value for n is 5/2

Explanation:

We have been given the equation

$(2n + 4) + 6 = -9 + 4(2n + 1)$

On distributing 4 over the parenthesis, we get

$2n + 4 + 6 = -9 + 8n+4$

Group the like terms

$2n -8n = -9+4-4-6$

Now combining the like terms, we get

$-6n = -15$

Divide both sides by -6 to isolate n

$n = \frac{15}{6}$

On simplifying the fraction, we gt

$n = \frac{5}{2}$

Therefore, the value for n is 5/2