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

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


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

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

Reorder the terms:
-16 + 6 + -8v + 2v = 6v + 8

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

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

Reorder the terms:
-10 + -6v = 8 + 6v

Solving
-10 + -6v = 8 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-10 + -6v + -6v = 8 + 6v + -6v

Combine like terms: -6v + -6v = -12v
-10 + -12v = 8 + 6v + -6v

Combine like terms: 6v + -6v = 0
-10 + -12v = 8 + 0
-10 + -12v = 8

Add '10' to each side of the equation.
-10 + 10 + -12v = 8 + 10

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

Combine like terms: 8 + 10 = 18
-12v = 18

Divide each side by '-12'.
v = -1.5

Simplifying
v = -1.5

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