Solve for v. 14 − 10v + 11 = 20v + 5(–7v − 11) v =

Mathematics

2 answers:

AlexFokin [52]3 years ago

7 0

Answer:

v = -16

Step-by-step 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

Svetllana [295]3 years ago

3 0

Answer:

$\boxed{v = - 16}$

Step-by-step explanation:

$= > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16$

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