12(v+1)-3v=3(v+4)-16

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Solution for 12(v+1)-3v=3(v+4)-16 equation:


Simplifying
12(v + 1) + -3v = 3(v + 4) + -16

Reorder the terms:
12(1 + v) + -3v = 3(v + 4) + -16
(1 * 12 + v * 12) + -3v = 3(v + 4) + -16
(12 + 12v) + -3v = 3(v + 4) + -16

Combine like terms: 12v + -3v = 9v
12 + 9v = 3(v + 4) + -16

Reorder the terms:
12 + 9v = 3(4 + v) + -16
12 + 9v = (4 * 3 + v * 3) + -16
12 + 9v = (12 + 3v) + -16

Reorder the terms:
12 + 9v = 12 + -16 + 3v

Combine like terms: 12 + -16 = -4
12 + 9v = -4 + 3v

Solving
12 + 9v = -4 + 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.
12 + 9v + -3v = -4 + 3v + -3v

Combine like terms: 9v + -3v = 6v
12 + 6v = -4 + 3v + -3v

Combine like terms: 3v + -3v = 0
12 + 6v = -4 + 0
12 + 6v = -4

Add '-12' to each side of the equation.
12 + -12 + 6v = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 6v = -4 + -12
6v = -4 + -12

Combine like terms: -4 + -12 = -16
6v = -16

Divide each side by '6'.
v = -2.666666667

Simplifying
v = -2.666666667

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