2(9v+10)-9v=-2(1-4v)

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Solution for 2(9v+10)-9v=-2(1-4v) equation: 


Simplifying
2(9v + 10) + -9v = -2(1 + -4v)

Reorder the terms:
2(10 + 9v) + -9v = -2(1 + -4v)
(10 * 2 + 9v * 2) + -9v = -2(1 + -4v)
(20 + 18v) + -9v = -2(1 + -4v)

Combine like terms: 18v + -9v = 9v
20 + 9v = -2(1 + -4v)
20 + 9v = (1 * -2 + -4v * -2)
20 + 9v = (-2 + 8v)

Solving
20 + 9v = -2 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
20 + 9v + -8v = -2 + 8v + -8v

Combine like terms: 9v + -8v = 1v
20 + 1v = -2 + 8v + -8v

Combine like terms: 8v + -8v = 0
20 + 1v = -2 + 0
20 + 1v = -2

Add '-20' to each side of the equation.
20 + -20 + 1v = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 1v = -2 + -20
1v = -2 + -20

Combine like terms: -2 + -20 = -22
1v = -22

Divide each side by '1'.
v = -22

Simplifying
v = -22

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