4v+2=9v-8

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Solution for 4v+2=9v-8 equation: 


Simplifying
4v + 2 = 9v + -8

Reorder the terms:
2 + 4v = 9v + -8

Reorder the terms:
2 + 4v = -8 + 9v

Solving
2 + 4v = -8 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
2 + 4v + -9v = -8 + 9v + -9v

Combine like terms: 4v + -9v = -5v
2 + -5v = -8 + 9v + -9v

Combine like terms: 9v + -9v = 0
2 + -5v = -8 + 0
2 + -5v = -8

Add '-2' to each side of the equation.
2 + -2 + -5v = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = -8 + -2
-5v = -8 + -2

Combine like terms: -8 + -2 = -10
-5v = -10

Divide each side by '-5'.
v = 2

Simplifying
v = 2

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