2v+7(v+3)=-5v-21

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Solution for 2v+7(v+3)=-5v-21 equation: 


Simplifying
2v + 7(v + 3) = -5v + -21

Reorder the terms:
2v + 7(3 + v) = -5v + -21
2v + (3 * 7 + v * 7) = -5v + -21
2v + (21 + 7v) = -5v + -21

Reorder the terms:
21 + 2v + 7v = -5v + -21

Combine like terms: 2v + 7v = 9v
21 + 9v = -5v + -21

Reorder the terms:
21 + 9v = -21 + -5v

Solving
21 + 9v = -21 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
21 + 9v + 5v = -21 + -5v + 5v

Combine like terms: 9v + 5v = 14v
21 + 14v = -21 + -5v + 5v

Combine like terms: -5v + 5v = 0
21 + 14v = -21 + 0
21 + 14v = -21

Add '-21' to each side of the equation.
21 + -21 + 14v = -21 + -21

Combine like terms: 21 + -21 = 0
0 + 14v = -21 + -21
14v = -21 + -21

Combine like terms: -21 + -21 = -42
14v = -42

Divide each side by '14'.
v = -3

Simplifying
v = -3

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