6v+9=18v-3v+81

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Solution for 6v+9=18v-3v+81 equation:


Simplifying
6v + 9 = 18v + -3v + 81

Reorder the terms:
9 + 6v = 18v + -3v + 81

Reorder the terms:
9 + 6v = 81 + 18v + -3v

Combine like terms: 18v + -3v = 15v
9 + 6v = 81 + 15v

Solving
9 + 6v = 81 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
9 + 6v + -15v = 81 + 15v + -15v

Combine like terms: 6v + -15v = -9v
9 + -9v = 81 + 15v + -15v

Combine like terms: 15v + -15v = 0
9 + -9v = 81 + 0
9 + -9v = 81

Add '-9' to each side of the equation.
9 + -9 + -9v = 81 + -9

Combine like terms: 9 + -9 = 0
0 + -9v = 81 + -9
-9v = 81 + -9

Combine like terms: 81 + -9 = 72
-9v = 72

Divide each side by '-9'.
v = -8

Simplifying
v = -8

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