-2(3v-1)+2v=8+2(5v-8)

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Solution for -2(3v-1)+2v=8+2(5v-8) equation:


Simplifying
-2(3v + -1) + 2v = 8 + 2(5v + -8)

Reorder the terms:
-2(-1 + 3v) + 2v = 8 + 2(5v + -8)
(-1 * -2 + 3v * -2) + 2v = 8 + 2(5v + -8)
(2 + -6v) + 2v = 8 + 2(5v + -8)

Combine like terms: -6v + 2v = -4v
2 + -4v = 8 + 2(5v + -8)

Reorder the terms:
2 + -4v = 8 + 2(-8 + 5v)
2 + -4v = 8 + (-8 * 2 + 5v * 2)
2 + -4v = 8 + (-16 + 10v)

Combine like terms: 8 + -16 = -8
2 + -4v = -8 + 10v

Solving
2 + -4v = -8 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
2 + -4v + -10v = -8 + 10v + -10v

Combine like terms: -4v + -10v = -14v
2 + -14v = -8 + 10v + -10v

Combine like terms: 10v + -10v = 0
2 + -14v = -8 + 0
2 + -14v = -8

Add '-2' to each side of the equation.
2 + -2 + -14v = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -14v = -8 + -2
-14v = -8 + -2

Combine like terms: -8 + -2 = -10
-14v = -10

Divide each side by '-14'.
v = 0.7142857143

Simplifying
v = 0.7142857143

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