Question

Solve for v.

14 − 10v + 11 = 20v + 5(–7v − 11)

v =

Answer 1

`\boxed{v = - 16}`

Explanation:

`= > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 * ( - 7v)) - (5 * 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - (80)/(5) \\ \\ = > v = - 16`

Answer 2

v = -16

Explanation:

→Distribute the 5 to (-7v - 11):

14 - 10v + 11 = 20v - 35v - 55

→Add like terms:

25 - 10v = -15v - 55

→Add 15v to both sides:

25 + 5v = -55

→Subtract 25 from both sides:

5v = -80

→Divide both sides by 5:

v = -16