-7(v+3)+2v+6=6v+8

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Solution for -7(v+3)+2v+6=6v+8 equation: 


Simplifying
-7(v + 3) + 2v + 6 = 6v + 8

Reorder the terms:
-7(3 + v) + 2v + 6 = 6v + 8
(3 * -7 + v * -7) + 2v + 6 = 6v + 8
(-21 + -7v) + 2v + 6 = 6v + 8

Reorder the terms:
-21 + 6 + -7v + 2v = 6v + 8

Combine like terms: -21 + 6 = -15
-15 + -7v + 2v = 6v + 8

Combine like terms: -7v + 2v = -5v
-15 + -5v = 6v + 8

Reorder the terms:
-15 + -5v = 8 + 6v

Solving
-15 + -5v = 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.
-15 + -5v + -6v = 8 + 6v + -6v

Combine like terms: -5v + -6v = -11v
-15 + -11v = 8 + 6v + -6v

Combine like terms: 6v + -6v = 0
-15 + -11v = 8 + 0
-15 + -11v = 8

Add '15' to each side of the equation.
-15 + 15 + -11v = 8 + 15

Combine like terms: -15 + 15 = 0
0 + -11v = 8 + 15
-11v = 8 + 15

Combine like terms: 8 + 15 = 23
-11v = 23

Divide each side by '-11'.
v = -2.090909091

Simplifying
v = -2.090909091

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