3v-9=7+12v-v

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Solution for 3v-9=7+12v-v equation:


Simplifying
3v + -9 = 7 + 12v + -1v

Reorder the terms:
-9 + 3v = 7 + 12v + -1v

Combine like terms: 12v + -1v = 11v
-9 + 3v = 7 + 11v

Solving
-9 + 3v = 7 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
-9 + 3v + -11v = 7 + 11v + -11v

Combine like terms: 3v + -11v = -8v
-9 + -8v = 7 + 11v + -11v

Combine like terms: 11v + -11v = 0
-9 + -8v = 7 + 0
-9 + -8v = 7

Add '9' to each side of the equation.
-9 + 9 + -8v = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -8v = 7 + 9
-8v = 7 + 9

Combine like terms: 7 + 9 = 16
-8v = 16

Divide each side by '-8'.
v = -2

Simplifying
v = -2

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