Question

what is the value of n in the equation \\(\frac{1}{2}(n - 4) - 3 = 3 - (2n + 3)\\)?\\(\circ\\) \\(n = 0\\)\\(\circ\\) \\(n = 2\\)\\(\circ\\) \\(n = 4\\)\\(\circ\\) \\(n = 6\\)

Explanation:

Step1: Expand both sides

$\frac{1}{2}n - 2 - 3 = 3 - 2n - 3$

Step2: Simplify both sides

$\frac{1}{2}n - 5 = -2n$

Step3: Add $2n$ to both sides

$\frac{1}{2}n + 2n - 5 = 0$
$\frac{5}{2}n - 5 = 0$

Step4: Add 5 to both sides

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

Step5: Solve for $n$

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

Answer:

n = 2