6. 8(2w - 1) - 4w = -116

Explanation:

Step1: Expand the left - hand side

$8(2w - 1)-4w=16w-8 - 4w$

Step2: Combine like terms

$16w-8 - 4w=12w-8$

Step3: Set up the new equation

$12w-8=-116$

Step4: Add 8 to both sides

$12w=-116 + 8=-108$

Step5: Divide both sides by 12

$w=\frac{-108}{12}=-9$

Answer:

$w = - 9$