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

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


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

Reorder the terms:
-3v + 6(5 + v) = -3(2 + 3v)
-3v + (5 * 6 + v * 6) = -3(2 + 3v)
-3v + (30 + 6v) = -3(2 + 3v)

Reorder the terms:
30 + -3v + 6v = -3(2 + 3v)

Combine like terms: -3v + 6v = 3v
30 + 3v = -3(2 + 3v)
30 + 3v = (2 * -3 + 3v * -3)
30 + 3v = (-6 + -9v)

Solving
30 + 3v = -6 + -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.
30 + 3v + 9v = -6 + -9v + 9v

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

Combine like terms: -9v + 9v = 0
30 + 12v = -6 + 0
30 + 12v = -6

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

Combine like terms: 30 + -30 = 0
0 + 12v = -6 + -30
12v = -6 + -30

Combine like terms: -6 + -30 = -36
12v = -36

Divide each side by '12'.
v = -3

Simplifying
v = -3

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