Question

(\frac{1}{2} - \frac{1}{8}q = \frac{q - 1}{4})

Explanation:

Step1: Multiply all terms by 8 to eliminate denominators.

$8\times(\frac{1}{2}-\frac{1}{8}q)=8\times\frac{q - 1}{4}$
$4 - q = 2(q - 1)$

Step2: Expand the right - hand side.

$4 - q = 2q-2$

Step3: Add q to both sides.

$4=2q - 2+q$
$4 = 3q-2$

Step4: Add 2 to both sides.

$4 + 2=3q$
$6 = 3q$

Step5: Divide both sides by 3.

$q=\frac{6}{3}=2$

Answer:

$q = 2$