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

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


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

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

Reorder the terms:
2 + -6v = -6 + 3 + 6v

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

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

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

Combine like terms: 6v + -6v = 0
2 + -12v = -3 + 0
2 + -12v = -3

Add '-2' to each side of the equation.
2 + -2 + -12v = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -12v = -3 + -2
-12v = -3 + -2

Combine like terms: -3 + -2 = -5
-12v = -5

Divide each side by '-12'.
v = 0.4166666667

Simplifying
v = 0.4166666667

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