-8v+16=-2v+2(1-4v)

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Solution for -8v+16=-2v+2(1-4v) equation: 


Simplifying
-8v + 16 = -2v + 2(1 + -4v)

Reorder the terms:
16 + -8v = -2v + 2(1 + -4v)
16 + -8v = -2v + (1 * 2 + -4v * 2)
16 + -8v = -2v + (2 + -8v)

Reorder the terms:
16 + -8v = 2 + -2v + -8v

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

Solving
16 + -8v = 2 + -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.
16 + -8v + 10v = 2 + -10v + 10v

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

Combine like terms: -10v + 10v = 0
16 + 2v = 2 + 0
16 + 2v = 2

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

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

Combine like terms: 2 + -16 = -14
2v = -14

Divide each side by '2'.
v = -7

Simplifying
v = -7

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