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

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


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

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

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

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

Reorder the terms:
8v = 4 + 8 + -14v

Combine like terms: 4 + 8 = 12
8v = 12 + -14v

Solving
8v = 12 + -14v

Solving for variable 'v'.

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

Add '14v' to each side of the equation.
8v + 14v = 12 + -14v + 14v

Combine like terms: 8v + 14v = 22v
22v = 12 + -14v + 14v

Combine like terms: -14v + 14v = 0
22v = 12 + 0
22v = 12

Divide each side by '22'.
v = 0.5454545455

Simplifying
v = 0.5454545455

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