2(v+8)=-3(5v-2)+3v

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Solution for 2(v+8)=-3(5v-2)+3v equation: 


Simplifying
2(v + 8) = -3(5v + -2) + 3v

Reorder the terms:
2(8 + v) = -3(5v + -2) + 3v
(8 * 2 + v * 2) = -3(5v + -2) + 3v
(16 + 2v) = -3(5v + -2) + 3v

Reorder the terms:
16 + 2v = -3(-2 + 5v) + 3v
16 + 2v = (-2 * -3 + 5v * -3) + 3v
16 + 2v = (6 + -15v) + 3v

Combine like terms: -15v + 3v = -12v
16 + 2v = 6 + -12v

Solving
16 + 2v = 6 + -12v

Solving for variable 'v'.

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

Add '12v' to each side of the equation.
16 + 2v + 12v = 6 + -12v + 12v

Combine like terms: 2v + 12v = 14v
16 + 14v = 6 + -12v + 12v

Combine like terms: -12v + 12v = 0
16 + 14v = 6 + 0
16 + 14v = 6

Add '-16' to each side of the equation.
16 + -16 + 14v = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 14v = 6 + -16
14v = 6 + -16

Combine like terms: 6 + -16 = -10
14v = -10

Divide each side by '14'.
v = -0.7142857143

Simplifying
v = -0.7142857143

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