2(6v-3)=18-3(16-3v)

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Solution for 2(6v-3)=18-3(16-3v) equation:


Simplifying
2(6v + -3) = 18 + -3(16 + -3v)

Reorder the terms:
2(-3 + 6v) = 18 + -3(16 + -3v)
(-3 * 2 + 6v * 2) = 18 + -3(16 + -3v)
(-6 + 12v) = 18 + -3(16 + -3v)
-6 + 12v = 18 + (16 * -3 + -3v * -3)
-6 + 12v = 18 + (-48 + 9v)

Combine like terms: 18 + -48 = -30
-6 + 12v = -30 + 9v

Solving
-6 + 12v = -30 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
-6 + 12v + -9v = -30 + 9v + -9v

Combine like terms: 12v + -9v = 3v
-6 + 3v = -30 + 9v + -9v

Combine like terms: 9v + -9v = 0
-6 + 3v = -30 + 0
-6 + 3v = -30

Add '6' to each side of the equation.
-6 + 6 + 3v = -30 + 6

Combine like terms: -6 + 6 = 0
0 + 3v = -30 + 6
3v = -30 + 6

Combine like terms: -30 + 6 = -24
3v = -24

Divide each side by '3'.
v = -8

Simplifying
v = -8

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