Question

What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = –9 + 4(2n + 1)?

Answer 1

Answer:

Solution to equation: $n = 1$

Step-by-step explanation:

We are given the following equation:

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)$

We have to solve the equation to find the value of n.

Solving the equation, we get,

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1$

Thus, value of n is 1.