-5(v - 1) = -6- (1 + 3v)

6 =v

Step-by-step explanation:

-5(v - 1) = -6- (1 + 3v)

Distribute

-5v +5 = -6 -1 -3v

Combine like terms

-5v +5 = -7 -3v

Add 5v to each side

-5v+5v +5 = -7 -3v+5v

5 = -7+2v

Add 7 to each side

5+7 = -7+7 +2v

12 = 2v

Divide each side by 2

12/2 = 2v/2

6 =v

Step-by-step explanation:

Note that the first two terms have the factor 4x + 1 and that this is also a factor of the last two terms.  Thus, 4x^3+x^2-8x-2 = (4x + 1)(x^2 - 2).  This last result is further factorable:  (4x + 1)(x - √2)(x + √2).

Next time, please share the answer choices.  Thank you.