20.5-7.5v=-8.5(9.5v-3)

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Solution for 20.5-7.5v=-8.5(9.5v-3) equation: 


Simplifying
20.5 + -7.5v = -8.5(9.5v + -3)

Reorder the terms:
20.5 + -7.5v = -8.5(-3 + 9.5v)
20.5 + -7.5v = (-3 * -8.5 + 9.5v * -8.5)
20.5 + -7.5v = (25.5 + -80.75v)

Solving
20.5 + -7.5v = 25.5 + -80.75v

Solving for variable 'v'.

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

Add '80.75v' to each side of the equation.
20.5 + -7.5v + 80.75v = 25.5 + -80.75v + 80.75v

Combine like terms: -7.5v + 80.75v = 73.25v
20.5 + 73.25v = 25.5 + -80.75v + 80.75v

Combine like terms: -80.75v + 80.75v = 0.00
20.5 + 73.25v = 25.5 + 0.00
20.5 + 73.25v = 25.5

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 73.25v = 25.5 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 73.25v = 25.5 + -20.5
73.25v = 25.5 + -20.5

Combine like terms: 25.5 + -20.5 = 5
73.25v = 5

Divide each side by '73.25'.
v = 0.06825938567

Simplifying
v = 0.06825938567

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