-2(-6v+1)-4v=2(v-4)-9

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Solution for -2(-6v+1)-4v=2(v-4)-9 equation:


Simplifying
-2(-6v + 1) + -4v = 2(v + -4) + -9

Reorder the terms:
-2(1 + -6v) + -4v = 2(v + -4) + -9
(1 * -2 + -6v * -2) + -4v = 2(v + -4) + -9
(-2 + 12v) + -4v = 2(v + -4) + -9

Combine like terms: 12v + -4v = 8v
-2 + 8v = 2(v + -4) + -9

Reorder the terms:
-2 + 8v = 2(-4 + v) + -9
-2 + 8v = (-4 * 2 + v * 2) + -9
-2 + 8v = (-8 + 2v) + -9

Reorder the terms:
-2 + 8v = -8 + -9 + 2v

Combine like terms: -8 + -9 = -17
-2 + 8v = -17 + 2v

Solving
-2 + 8v = -17 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-2 + 8v + -2v = -17 + 2v + -2v

Combine like terms: 8v + -2v = 6v
-2 + 6v = -17 + 2v + -2v

Combine like terms: 2v + -2v = 0
-2 + 6v = -17 + 0
-2 + 6v = -17

Add '2' to each side of the equation.
-2 + 2 + 6v = -17 + 2

Combine like terms: -2 + 2 = 0
0 + 6v = -17 + 2
6v = -17 + 2

Combine like terms: -17 + 2 = -15
6v = -15

Divide each side by '6'.
v = -2.5

Simplifying
v = -2.5

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