v-4(4-v)=-2(2v-1)

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


Simplifying
v + -4(4 + -1v) = -2(2v + -1)
v + (4 * -4 + -1v * -4) = -2(2v + -1)
v + (-16 + 4v) = -2(2v + -1)

Reorder the terms:
-16 + v + 4v = -2(2v + -1)

Combine like terms: v + 4v = 5v
-16 + 5v = -2(2v + -1)

Reorder the terms:
-16 + 5v = -2(-1 + 2v)
-16 + 5v = (-1 * -2 + 2v * -2)
-16 + 5v = (2 + -4v)

Solving
-16 + 5v = 2 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
-16 + 5v + 4v = 2 + -4v + 4v

Combine like terms: 5v + 4v = 9v
-16 + 9v = 2 + -4v + 4v

Combine like terms: -4v + 4v = 0
-16 + 9v = 2 + 0
-16 + 9v = 2

Add '16' to each side of the equation.
-16 + 16 + 9v = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 9v = 2 + 16
9v = 2 + 16

Combine like terms: 2 + 16 = 18
9v = 18

Divide each side by '9'.
v = 2

Simplifying
v = 2

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