Verified answer

-18v + 5.13 = 0.73 – 18.4v – 3.44

collect like terms

=> -18v + 5.13 = -18.4v - 2.71

add 18.4v to both sides

=> 0.4v + 5.13 = - 2.71

subtract 5.13 from both sides

=> 0.4v = -7.84

divide both sides by 0.4

=> v = -19.6

The only way it can be equal to 6.075 is if:

- 18v + 18.4 v - 0.73 +3.44 + 5.13 = 6.075

0.4 v + 7.84 = 6.075

i.e 0.4 v = 6.075 - 7.84 = - 1.765

and v = -1.765 / 0.4 = -4.4125

Otherwise:

Bring the terms with v to one side and take the pure numbers to the other:

- 18v + 18.4 v = 0.73 -3.44 - 5.13

0.4 v = - 7.84

This gives v = -7.84 / 0.4 =19.6