6(-2v+4)=2v+2-7v+8

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Solution for 6(-2v+4)=2v+2-7v+8 equation: 


Simplifying
6(-2v + 4) = 2v + 2 + -7v + 8

Reorder the terms:
6(4 + -2v) = 2v + 2 + -7v + 8
(4 * 6 + -2v * 6) = 2v + 2 + -7v + 8
(24 + -12v) = 2v + 2 + -7v + 8

Reorder the terms:
24 + -12v = 2 + 8 + 2v + -7v

Combine like terms: 2 + 8 = 10
24 + -12v = 10 + 2v + -7v

Combine like terms: 2v + -7v = -5v
24 + -12v = 10 + -5v

Solving
24 + -12v = 10 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
24 + -12v + 5v = 10 + -5v + 5v

Combine like terms: -12v + 5v = -7v
24 + -7v = 10 + -5v + 5v

Combine like terms: -5v + 5v = 0
24 + -7v = 10 + 0
24 + -7v = 10

Add '-24' to each side of the equation.
24 + -24 + -7v = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -7v = 10 + -24
-7v = 10 + -24

Combine like terms: 10 + -24 = -14
-7v = -14

Divide each side by '-7'.
v = 2

Simplifying
v = 2

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