Question

½(-4n + 34) - 3 = ¼(16n - 40)

Explanation:

Step1: Distribute coefficients

$\frac{1}{2}(-4n) + \frac{1}{2}(34) - 3 = \frac{1}{4}(16n) - \frac{1}{4}(40)$
$-2n + 17 - 3 = 4n - 10$

Step2: Simplify constant terms

$-2n + 14 = 4n - 10$

Step3: Isolate n terms to one side

$-2n - 4n = -10 - 14$
$-6n = -24$

Step4: Solve for n

$n = \frac{-24}{-6}$

Answer:

$n = 4$