2+2(4v-1)=-2(7v-2)+8v

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Solution for 2+2(4v-1)=-2(7v-2)+8v equation: 


Simplifying
2 + 2(4v + -1) = -2(7v + -2) + 8v

Reorder the terms:
2 + 2(-1 + 4v) = -2(7v + -2) + 8v
2 + (-1 * 2 + 4v * 2) = -2(7v + -2) + 8v
2 + (-2 + 8v) = -2(7v + -2) + 8v

Combine like terms: 2 + -2 = 0
0 + 8v = -2(7v + -2) + 8v
8v = -2(7v + -2) + 8v

Reorder the terms:
8v = -2(-2 + 7v) + 8v
8v = (-2 * -2 + 7v * -2) + 8v
8v = (4 + -14v) + 8v

Combine like terms: -14v + 8v = -6v
8v = 4 + -6v

Solving
8v = 4 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
8v + 6v = 4 + -6v + 6v

Combine like terms: 8v + 6v = 14v
14v = 4 + -6v + 6v

Combine like terms: -6v + 6v = 0
14v = 4 + 0
14v = 4

Divide each side by '14'.
v = 0.2857142857

Simplifying
v = 0.2857142857

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