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

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


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

Reorder the terms:
2(-6 + v) + -1 = -3(-4v + 1) + -6v
(-6 * 2 + v * 2) + -1 = -3(-4v + 1) + -6v
(-12 + 2v) + -1 = -3(-4v + 1) + -6v

Reorder the terms:
-12 + -1 + 2v = -3(-4v + 1) + -6v

Combine like terms: -12 + -1 = -13
-13 + 2v = -3(-4v + 1) + -6v

Reorder the terms:
-13 + 2v = -3(1 + -4v) + -6v
-13 + 2v = (1 * -3 + -4v * -3) + -6v
-13 + 2v = (-3 + 12v) + -6v

Combine like terms: 12v + -6v = 6v
-13 + 2v = -3 + 6v

Solving
-13 + 2v = -3 + 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.
-13 + 2v + -6v = -3 + 6v + -6v

Combine like terms: 2v + -6v = -4v
-13 + -4v = -3 + 6v + -6v

Combine like terms: 6v + -6v = 0
-13 + -4v = -3 + 0
-13 + -4v = -3

Add '13' to each side of the equation.
-13 + 13 + -4v = -3 + 13

Combine like terms: -13 + 13 = 0
0 + -4v = -3 + 13
-4v = -3 + 13

Combine like terms: -3 + 13 = 10
-4v = 10

Divide each side by '-4'.
v = -2.5

Simplifying
v = -2.5

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