V-2+3(3v+3)=-5(v+1)

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


Simplifying
V + -2 + 3(3v + 3) = -5(v + 1)

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

Reorder the terms:
-2 + 9 + V + 9v = -5(v + 1)

Combine like terms: -2 + 9 = 7
7 + V + 9v = -5(v + 1)

Reorder the terms:
7 + V + 9v = -5(1 + v)
7 + V + 9v = (1 * -5 + v * -5)
7 + V + 9v = (-5 + -5v)

Solving
7 + V + 9v = -5 + -5v

Solving for variable 'V'.

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

Add '-7' to each side of the equation.
7 + V + -7 + 9v = -5 + -7 + -5v

Reorder the terms:
7 + -7 + V + 9v = -5 + -7 + -5v

Combine like terms: 7 + -7 = 0
0 + V + 9v = -5 + -7 + -5v
V + 9v = -5 + -7 + -5v

Combine like terms: -5 + -7 = -12
V + 9v = -12 + -5v

Add '-9v' to each side of the equation.
V + 9v + -9v = -12 + -5v + -9v

Combine like terms: 9v + -9v = 0
V + 0 = -12 + -5v + -9v
V = -12 + -5v + -9v

Combine like terms: -5v + -9v = -14v
V = -12 + -14v

Simplifying
V = -12 + -14v

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