14(v+3)-2v=(3v+2)-10

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Solution for 14(v+3)-2v=(3v+2)-10 equation: 


Simplifying
14(v + 3) + -2v = (3v + 2) + -10

Reorder the terms:
14(3 + v) + -2v = (3v + 2) + -10
(3 * 14 + v * 14) + -2v = (3v + 2) + -10
(42 + 14v) + -2v = (3v + 2) + -10

Combine like terms: 14v + -2v = 12v
42 + 12v = (3v + 2) + -10

Reorder the terms:
42 + 12v = (2 + 3v) + -10

Remove parenthesis around (2 + 3v)
42 + 12v = 2 + 3v + -10

Reorder the terms:
42 + 12v = 2 + -10 + 3v

Combine like terms: 2 + -10 = -8
42 + 12v = -8 + 3v

Solving
42 + 12v = -8 + 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.
42 + 12v + -3v = -8 + 3v + -3v

Combine like terms: 12v + -3v = 9v
42 + 9v = -8 + 3v + -3v

Combine like terms: 3v + -3v = 0
42 + 9v = -8 + 0
42 + 9v = -8

Add '-42' to each side of the equation.
42 + -42 + 9v = -8 + -42

Combine like terms: 42 + -42 = 0
0 + 9v = -8 + -42
9v = -8 + -42

Combine like terms: -8 + -42 = -50
9v = -50

Divide each side by '9'.
v = -5.555555556

Simplifying
v = -5.555555556

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