3+9(9v+20)=20v

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Solution for 3+9(9v+20)=20v equation: 


Simplifying
3 + 9(9v + 20) = 20v

Reorder the terms:
3 + 9(20 + 9v) = 20v
3 + (20 * 9 + 9v * 9) = 20v
3 + (180 + 81v) = 20v

Combine like terms: 3 + 180 = 183
183 + 81v = 20v

Solving
183 + 81v = 20v

Solving for variable 'v'.

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

Add '-20v' to each side of the equation.
183 + 81v + -20v = 20v + -20v

Combine like terms: 81v + -20v = 61v
183 + 61v = 20v + -20v

Combine like terms: 20v + -20v = 0
183 + 61v = 0

Add '-183' to each side of the equation.
183 + -183 + 61v = 0 + -183

Combine like terms: 183 + -183 = 0
0 + 61v = 0 + -183
61v = 0 + -183

Combine like terms: 0 + -183 = -183
61v = -183

Divide each side by '61'.
v = -3

Simplifying
v = -3

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