v-38=3v-2(7-v)

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Solution for v-38=3v-2(7-v) equation:


Simplifying
v + -38 = 3v + -2(7 + -1v)

Reorder the terms:
-38 + v = 3v + -2(7 + -1v)
-38 + v = 3v + (7 * -2 + -1v * -2)
-38 + v = 3v + (-14 + 2v)

Reorder the terms:
-38 + v = -14 + 3v + 2v

Combine like terms: 3v + 2v = 5v
-38 + v = -14 + 5v

Solving
-38 + v = -14 + 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.
-38 + v + -5v = -14 + 5v + -5v

Combine like terms: v + -5v = -4v
-38 + -4v = -14 + 5v + -5v

Combine like terms: 5v + -5v = 0
-38 + -4v = -14 + 0
-38 + -4v = -14

Add '38' to each side of the equation.
-38 + 38 + -4v = -14 + 38

Combine like terms: -38 + 38 = 0
0 + -4v = -14 + 38
-4v = -14 + 38

Combine like terms: -14 + 38 = 24
-4v = 24

Divide each side by '-4'.
v = -6

Simplifying
v = -6

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