4(v+3)=-2(3v-8)+4v

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Solution for 4(v+3)=-2(3v-8)+4v equation:


Simplifying
4(v + 3) = -2(3v + -8) + 4v

Reorder the terms:
4(3 + v) = -2(3v + -8) + 4v
(3 * 4 + v * 4) = -2(3v + -8) + 4v
(12 + 4v) = -2(3v + -8) + 4v

Reorder the terms:
12 + 4v = -2(-8 + 3v) + 4v
12 + 4v = (-8 * -2 + 3v * -2) + 4v
12 + 4v = (16 + -6v) + 4v

Combine like terms: -6v + 4v = -2v
12 + 4v = 16 + -2v

Solving
12 + 4v = 16 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
12 + 4v + 2v = 16 + -2v + 2v

Combine like terms: 4v + 2v = 6v
12 + 6v = 16 + -2v + 2v

Combine like terms: -2v + 2v = 0
12 + 6v = 16 + 0
12 + 6v = 16

Add '-12' to each side of the equation.
12 + -12 + 6v = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 6v = 16 + -12
6v = 16 + -12

Combine like terms: 16 + -12 = 4
6v = 4

Divide each side by '6'.
v = 0.6666666667

Simplifying
v = 0.6666666667

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