13(v+3)-4v=3(v+3)-14

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Solution for 13(v+3)-4v=3(v+3)-14 equation: 


Simplifying
13(v + 3) + -4v = 3(v + 3) + -14

Reorder the terms:
13(3 + v) + -4v = 3(v + 3) + -14
(3 * 13 + v * 13) + -4v = 3(v + 3) + -14
(39 + 13v) + -4v = 3(v + 3) + -14

Combine like terms: 13v + -4v = 9v
39 + 9v = 3(v + 3) + -14

Reorder the terms:
39 + 9v = 3(3 + v) + -14
39 + 9v = (3 * 3 + v * 3) + -14
39 + 9v = (9 + 3v) + -14

Reorder the terms:
39 + 9v = 9 + -14 + 3v

Combine like terms: 9 + -14 = -5
39 + 9v = -5 + 3v

Solving
39 + 9v = -5 + 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.
39 + 9v + -3v = -5 + 3v + -3v

Combine like terms: 9v + -3v = 6v
39 + 6v = -5 + 3v + -3v

Combine like terms: 3v + -3v = 0
39 + 6v = -5 + 0
39 + 6v = -5

Add '-39' to each side of the equation.
39 + -39 + 6v = -5 + -39

Combine like terms: 39 + -39 = 0
0 + 6v = -5 + -39
6v = -5 + -39

Combine like terms: -5 + -39 = -44
6v = -44

Divide each side by '6'.
v = -7.333333333

Simplifying
v = -7.333333333

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