-2(v+6)-6v=4(v+3)

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Solution for -2(v+6)-6v=4(v+3) equation:


Simplifying
-2(v + 6) + -6v = 4(v + 3)

Reorder the terms:
-2(6 + v) + -6v = 4(v + 3)
(6 * -2 + v * -2) + -6v = 4(v + 3)
(-12 + -2v) + -6v = 4(v + 3)

Combine like terms: -2v + -6v = -8v
-12 + -8v = 4(v + 3)

Reorder the terms:
-12 + -8v = 4(3 + v)
-12 + -8v = (3 * 4 + v * 4)
-12 + -8v = (12 + 4v)

Solving
-12 + -8v = 12 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
-12 + -8v + -4v = 12 + 4v + -4v

Combine like terms: -8v + -4v = -12v
-12 + -12v = 12 + 4v + -4v

Combine like terms: 4v + -4v = 0
-12 + -12v = 12 + 0
-12 + -12v = 12

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

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

Combine like terms: 12 + 12 = 24
-12v = 24

Divide each side by '-12'.
v = -2

Simplifying
v = -2

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