15(v+4)-3v=3(3v+2)-16

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Solution for 15(v+4)-3v=3(3v+2)-16 equation: 


Simplifying
15(v + 4) + -3v = 3(3v + 2) + -16

Reorder the terms:
15(4 + v) + -3v = 3(3v + 2) + -16
(4 * 15 + v * 15) + -3v = 3(3v + 2) + -16
(60 + 15v) + -3v = 3(3v + 2) + -16

Combine like terms: 15v + -3v = 12v
60 + 12v = 3(3v + 2) + -16

Reorder the terms:
60 + 12v = 3(2 + 3v) + -16
60 + 12v = (2 * 3 + 3v * 3) + -16
60 + 12v = (6 + 9v) + -16

Reorder the terms:
60 + 12v = 6 + -16 + 9v

Combine like terms: 6 + -16 = -10
60 + 12v = -10 + 9v

Solving
60 + 12v = -10 + 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.
60 + 12v + -9v = -10 + 9v + -9v

Combine like terms: 12v + -9v = 3v
60 + 3v = -10 + 9v + -9v

Combine like terms: 9v + -9v = 0
60 + 3v = -10 + 0
60 + 3v = -10

Add '-60' to each side of the equation.
60 + -60 + 3v = -10 + -60

Combine like terms: 60 + -60 = 0
0 + 3v = -10 + -60
3v = -10 + -60

Combine like terms: -10 + -60 = -70
3v = -70

Divide each side by '3'.
v = -23.33333333

Simplifying
v = -23.33333333

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