5(6-v)+2v=3(v-4)

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Solution for 5(6-v)+2v=3(v-4) equation:


Simplifying
5(6 + -1v) + 2v = 3(v + -4)
(6 * 5 + -1v * 5) + 2v = 3(v + -4)
(30 + -5v) + 2v = 3(v + -4)

Combine like terms: -5v + 2v = -3v
30 + -3v = 3(v + -4)

Reorder the terms:
30 + -3v = 3(-4 + v)
30 + -3v = (-4 * 3 + v * 3)
30 + -3v = (-12 + 3v)

Solving
30 + -3v = -12 + 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.
30 + -3v + -3v = -12 + 3v + -3v

Combine like terms: -3v + -3v = -6v
30 + -6v = -12 + 3v + -3v

Combine like terms: 3v + -3v = 0
30 + -6v = -12 + 0
30 + -6v = -12

Add '-30' to each side of the equation.
30 + -30 + -6v = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -6v = -12 + -30
-6v = -12 + -30

Combine like terms: -12 + -30 = -42
-6v = -42

Divide each side by '-6'.
v = 7

Simplifying
v = 7

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