-3(2v-6)+9v=5+2(6v-1)

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Solution for -3(2v-6)+9v=5+2(6v-1) equation:


Simplifying
-3(2v + -6) + 9v = 5 + 2(6v + -1)

Reorder the terms:
-3(-6 + 2v) + 9v = 5 + 2(6v + -1)
(-6 * -3 + 2v * -3) + 9v = 5 + 2(6v + -1)
(18 + -6v) + 9v = 5 + 2(6v + -1)

Combine like terms: -6v + 9v = 3v
18 + 3v = 5 + 2(6v + -1)

Reorder the terms:
18 + 3v = 5 + 2(-1 + 6v)
18 + 3v = 5 + (-1 * 2 + 6v * 2)
18 + 3v = 5 + (-2 + 12v)

Combine like terms: 5 + -2 = 3
18 + 3v = 3 + 12v

Solving
18 + 3v = 3 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
18 + 3v + -12v = 3 + 12v + -12v

Combine like terms: 3v + -12v = -9v
18 + -9v = 3 + 12v + -12v

Combine like terms: 12v + -12v = 0
18 + -9v = 3 + 0
18 + -9v = 3

Add '-18' to each side of the equation.
18 + -18 + -9v = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -9v = 3 + -18
-9v = 3 + -18

Combine like terms: 3 + -18 = -15
-9v = -15

Divide each side by '-9'.
v = 1.666666667

Simplifying
v = 1.666666667

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