2(v-1)=8v+6-2(-5v-1)

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Solution for 2(v-1)=8v+6-2(-5v-1) equation:


Simplifying
2(v + -1) = 8v + 6 + -2(-5v + -1)

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

Reorder the terms:
-2 + 2v = 8v + 6 + -2(-1 + -5v)
-2 + 2v = 8v + 6 + (-1 * -2 + -5v * -2)
-2 + 2v = 8v + 6 + (2 + 10v)

Reorder the terms:
-2 + 2v = 6 + 2 + 8v + 10v

Combine like terms: 6 + 2 = 8
-2 + 2v = 8 + 8v + 10v

Combine like terms: 8v + 10v = 18v
-2 + 2v = 8 + 18v

Solving
-2 + 2v = 8 + 18v

Solving for variable 'v'.

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

Add '-18v' to each side of the equation.
-2 + 2v + -18v = 8 + 18v + -18v

Combine like terms: 2v + -18v = -16v
-2 + -16v = 8 + 18v + -18v

Combine like terms: 18v + -18v = 0
-2 + -16v = 8 + 0
-2 + -16v = 8

Add '2' to each side of the equation.
-2 + 2 + -16v = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -16v = 8 + 2
-16v = 8 + 2

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

Divide each side by '-16'.
v = -0.625

Simplifying
v = -0.625

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