6v+3(2v+4)=2v-3(2v-9)

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Solution for 6v+3(2v+4)=2v-3(2v-9) equation:


Simplifying
6v + 3(2v + 4) = 2v + -3(2v + -9)

Reorder the terms:
6v + 3(4 + 2v) = 2v + -3(2v + -9)
6v + (4 * 3 + 2v * 3) = 2v + -3(2v + -9)
6v + (12 + 6v) = 2v + -3(2v + -9)

Reorder the terms:
12 + 6v + 6v = 2v + -3(2v + -9)

Combine like terms: 6v + 6v = 12v
12 + 12v = 2v + -3(2v + -9)

Reorder the terms:
12 + 12v = 2v + -3(-9 + 2v)
12 + 12v = 2v + (-9 * -3 + 2v * -3)
12 + 12v = 2v + (27 + -6v)

Reorder the terms:
12 + 12v = 27 + 2v + -6v

Combine like terms: 2v + -6v = -4v
12 + 12v = 27 + -4v

Solving
12 + 12v = 27 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
12 + 12v + 4v = 27 + -4v + 4v

Combine like terms: 12v + 4v = 16v
12 + 16v = 27 + -4v + 4v

Combine like terms: -4v + 4v = 0
12 + 16v = 27 + 0
12 + 16v = 27

Add '-12' to each side of the equation.
12 + -12 + 16v = 27 + -12

Combine like terms: 12 + -12 = 0
0 + 16v = 27 + -12
16v = 27 + -12

Combine like terms: 27 + -12 = 15
16v = 15

Divide each side by '16'.
v = 0.9375

Simplifying
v = 0.9375

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