-6(v+2)+3v+6=8v+12

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Solution for -6(v+2)+3v+6=8v+12 equation:


Simplifying
-6(v + 2) + 3v + 6 = 8v + 12

Reorder the terms:
-6(2 + v) + 3v + 6 = 8v + 12
(2 * -6 + v * -6) + 3v + 6 = 8v + 12
(-12 + -6v) + 3v + 6 = 8v + 12

Reorder the terms:
-12 + 6 + -6v + 3v = 8v + 12

Combine like terms: -12 + 6 = -6
-6 + -6v + 3v = 8v + 12

Combine like terms: -6v + 3v = -3v
-6 + -3v = 8v + 12

Reorder the terms:
-6 + -3v = 12 + 8v

Solving
-6 + -3v = 12 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-6 + -3v + -8v = 12 + 8v + -8v

Combine like terms: -3v + -8v = -11v
-6 + -11v = 12 + 8v + -8v

Combine like terms: 8v + -8v = 0
-6 + -11v = 12 + 0
-6 + -11v = 12

Add '6' to each side of the equation.
-6 + 6 + -11v = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -11v = 12 + 6
-11v = 12 + 6

Combine like terms: 12 + 6 = 18
-11v = 18

Divide each side by '-11'.
v = -1.636363636

Simplifying
v = -1.636363636

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