6v+7(3-3v)=-30+2v

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Solution for 6v+7(3-3v)=-30+2v equation:


Simplifying
6v + 7(3 + -3v) = -30 + 2v
6v + (3 * 7 + -3v * 7) = -30 + 2v
6v + (21 + -21v) = -30 + 2v

Reorder the terms:
21 + 6v + -21v = -30 + 2v

Combine like terms: 6v + -21v = -15v
21 + -15v = -30 + 2v

Solving
21 + -15v = -30 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
21 + -15v + -2v = -30 + 2v + -2v

Combine like terms: -15v + -2v = -17v
21 + -17v = -30 + 2v + -2v

Combine like terms: 2v + -2v = 0
21 + -17v = -30 + 0
21 + -17v = -30

Add '-21' to each side of the equation.
21 + -21 + -17v = -30 + -21

Combine like terms: 21 + -21 = 0
0 + -17v = -30 + -21
-17v = -30 + -21

Combine like terms: -30 + -21 = -51
-17v = -51

Divide each side by '-17'.
v = 3

Simplifying
v = 3

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