2(v+8)=-3(6v-2)+8v

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Solution for 2(v+8)=-3(6v-2)+8v equation: 


Simplifying
2(v + 8) = -3(6v + -2) + 8v

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

Reorder the terms:
16 + 2v = -3(-2 + 6v) + 8v
16 + 2v = (-2 * -3 + 6v * -3) + 8v
16 + 2v = (6 + -18v) + 8v

Combine like terms: -18v + 8v = -10v
16 + 2v = 6 + -10v

Solving
16 + 2v = 6 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
16 + 2v + 10v = 6 + -10v + 10v

Combine like terms: 2v + 10v = 12v
16 + 12v = 6 + -10v + 10v

Combine like terms: -10v + 10v = 0
16 + 12v = 6 + 0
16 + 12v = 6

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

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

Combine like terms: 6 + -16 = -10
12v = -10

Divide each side by '12'.
v = -0.8333333333

Simplifying
v = -0.8333333333

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