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

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


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

Reorder the terms:
2(6 + v) = -2(5v + -8) + 2v
(6 * 2 + v * 2) = -2(5v + -8) + 2v
(12 + 2v) = -2(5v + -8) + 2v

Reorder the terms:
12 + 2v = -2(-8 + 5v) + 2v
12 + 2v = (-8 * -2 + 5v * -2) + 2v
12 + 2v = (16 + -10v) + 2v

Combine like terms: -10v + 2v = -8v
12 + 2v = 16 + -8v

Solving
12 + 2v = 16 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
12 + 2v + 8v = 16 + -8v + 8v

Combine like terms: 2v + 8v = 10v
12 + 10v = 16 + -8v + 8v

Combine like terms: -8v + 8v = 0
12 + 10v = 16 + 0
12 + 10v = 16

Add '-12' to each side of the equation.
12 + -12 + 10v = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 10v = 16 + -12
10v = 16 + -12

Combine like terms: 16 + -12 = 4
10v = 4

Divide each side by '10'.
v = 0.4

Simplifying
v = 0.4

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