Respuesta :

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  • Answer :

[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]

[tex] \\ [/tex]

  • Explanation:

-5v + 6 = -12v + 62

[tex] \\ [/tex]

▪️Subtract 6 from both sides :

-5v + 6 - 6 = -12v + 62 - 6

-5v = -12v + 56

▪️Add 12v to each side :

-5v + 12v = -12v + 56 + 12v

7v = 56

▪️ Divide both sides by 7 :

7v / 7 = 56 / 7

v = 8

[tex] \\ [/tex]

Therefore, our answer is v = 8.

[tex] \\ [/tex]

▪️ Learn more about solving equations:

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Answer:

v = 8

Step-by-step explanation:

Hello!

We can solve the equation by moving all terms of V to one side, and all integer values to the other.

Solve

  • -5v + 6 = -12v + 62
  • -5v + 6 + 12v = -12v + 62 + 12v
  • 7v + 6 = 62
  • 7v + 6 - 6 = 62 - 6
  • 7v = 56
  • v = 56/7
  • v = 8

The value of v is 8.

We can plug back 8 into the original to check our answer:

  • -5(8) + 6 = -12(8) + 62
  • -40 + 6 = -96 + 62
  • -34 = -34

Since both sides match, the solution of v = 8 is correct.

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