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

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


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

Reorder the terms:
-3(-6 + 4v) + 4v = 4 + 2(3v + -2)
(-6 * -3 + 4v * -3) + 4v = 4 + 2(3v + -2)
(18 + -12v) + 4v = 4 + 2(3v + -2)

Combine like terms: -12v + 4v = -8v
18 + -8v = 4 + 2(3v + -2)

Reorder the terms:
18 + -8v = 4 + 2(-2 + 3v)
18 + -8v = 4 + (-2 * 2 + 3v * 2)
18 + -8v = 4 + (-4 + 6v)

Combine like terms: 4 + -4 = 0
18 + -8v = 0 + 6v
18 + -8v = 6v

Solving
18 + -8v = 6v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-6v' to each side of the equation.
18 + -8v + -6v = 6v + -6v

Combine like terms: -8v + -6v = -14v
18 + -14v = 6v + -6v

Combine like terms: 6v + -6v = 0
18 + -14v = 0

Add '-18' to each side of the equation.
18 + -18 + -14v = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -14v = 0 + -18
-14v = 0 + -18

Combine like terms: 0 + -18 = -18
-14v = -18

Divide each side by '-14'.
v = 1.285714286

Simplifying
v = 1.285714286

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