Verified answer

if you are hunting the value of v, I will do it this way:

13.9v-14.2v=13.04+14.81

-0.3v=-1.77

0.3v=1.77

v=1.77/0.3=5.9.

Hope I did no mistake by this + and -.

-14.81 + 13.9v = 14.2v – 13.04

Add -13.9v to both sides. (or subtract 13.9v)

-14.81 + 13.9v - 13.9v = 14.2v - 13.9v – 13.04

-14.81 = 0.3v – 13.04

Add 13.04 to both sides.

-14.81 + 13.04 = 0.3v – 13.04 + 13.04

-1.77 = 0.3v

Divide both sides by 0.3.

-1.77/0.3 = 0.3v/0.3

-5.9 = v

v = -5.9

CHECK:

Insert v = -5.9 into the original equation. When you then simply the equation, if you end up with an identity (same thing on both sides of the equal sign), then the value v = -5.9 is correct.

-14.81 + 13.9v = 14.2v – 13.04

-14.81 + 13.9(-5.9) = 14.2(-5.9) – 13.04

-14.81 - 82.01 = -83.78 - 13.04

-96.82 = -96.82

Therefore v = -5.9 is correct.

-14.81+13.9v = 14.2v -13.04

-13.9v -13.9v

-14.81=0.3v-13.04

+13.04 +13.04

-1.77=0.3v

/0.3 /0.3

-5.9=v

That what i got the answer. and if you want in fraction, then it will be -1.77over -0.3

-14.81 + 13.9v = 14.2v – 13.04

-14.81+13.04=14.2v-13.9v

-1.77=0.3v

v=-5.9

-14.81 + 13.04 = 14.2v - 13.9v

-1.77 = 0.3v

-5.9 = v