2v+22=5(v-1)

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Solution for 2v+22=5(v-1) equation: 


Simplifying
2v + 22 = 5(v + -1)

Reorder the terms:
22 + 2v = 5(v + -1)

Reorder the terms:
22 + 2v = 5(-1 + v)
22 + 2v = (-1 * 5 + v * 5)
22 + 2v = (-5 + 5v)

Solving
22 + 2v = -5 + 5v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-5v' to each side of the equation.
22 + 2v + -5v = -5 + 5v + -5v

Combine like terms: 2v + -5v = -3v
22 + -3v = -5 + 5v + -5v

Combine like terms: 5v + -5v = 0
22 + -3v = -5 + 0
22 + -3v = -5

Add '-22' to each side of the equation.
22 + -22 + -3v = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -3v = -5 + -22
-3v = -5 + -22

Combine like terms: -5 + -22 = -27
-3v = -27

Divide each side by '-3'.
v = 9

Simplifying
v = 9

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