-2(2v-1)+3(v+6)=-v-4v

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Solution for -2(2v-1)+3(v+6)=-v-4v equation: 


Simplifying
-2(2v + -1) + 3(v + 6) = -1v + -4v

Reorder the terms:
-2(-1 + 2v) + 3(v + 6) = -1v + -4v
(-1 * -2 + 2v * -2) + 3(v + 6) = -1v + -4v
(2 + -4v) + 3(v + 6) = -1v + -4v

Reorder the terms:
2 + -4v + 3(6 + v) = -1v + -4v
2 + -4v + (6 * 3 + v * 3) = -1v + -4v
2 + -4v + (18 + 3v) = -1v + -4v

Reorder the terms:
2 + 18 + -4v + 3v = -1v + -4v

Combine like terms: 2 + 18 = 20
20 + -4v + 3v = -1v + -4v

Combine like terms: -4v + 3v = -1v
20 + -1v = -1v + -4v

Combine like terms: -1v + -4v = -5v
20 + -1v = -5v

Solving
20 + -1v = -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.
20 + -1v + 5v = -5v + 5v

Combine like terms: -1v + 5v = 4v
20 + 4v = -5v + 5v

Combine like terms: -5v + 5v = 0
20 + 4v = 0

Add '-20' to each side of the equation.
20 + -20 + 4v = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 4v = 0 + -20
4v = 0 + -20

Combine like terms: 0 + -20 = -20
4v = -20

Divide each side by '4'.
v = -5

Simplifying
v = -5

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