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bogdanovich [222]
3 years ago
12

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:

<u>→Distribute the 5 to (-7v - 11):</u>

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

<u>→Add like terms:</u>

25 - 10v = -15v - 55

<u>→Add 15v to both sides:</u>

25 + 5v = -55

<u>→Subtract 25 from both sides:</u>

5v = -80

<u>→Divide both sides by 5:</u>

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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