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

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


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

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

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

Combine like terms: -3 + 6 = 3
3 + 3v + 6v = -3(v + 4)

Combine like terms: 3v + 6v = 9v
3 + 9v = -3(v + 4)

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

Solving
3 + 9v = -12 + -3v

Solving for variable 'v'.

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

Add '3v' to each side of the equation.
3 + 9v + 3v = -12 + -3v + 3v

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

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

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

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

Combine like terms: -12 + -3 = -15
12v = -15

Divide each side by '12'.
v = -1.25

Simplifying
v = -1.25

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