-2(2v-4)+7v=7+3(7v-5)

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Solution for -2(2v-4)+7v=7+3(7v-5) equation:


Simplifying
-2(2v + -4) + 7v = 7 + 3(7v + -5)

Reorder the terms:
-2(-4 + 2v) + 7v = 7 + 3(7v + -5)
(-4 * -2 + 2v * -2) + 7v = 7 + 3(7v + -5)
(8 + -4v) + 7v = 7 + 3(7v + -5)

Combine like terms: -4v + 7v = 3v
8 + 3v = 7 + 3(7v + -5)

Reorder the terms:
8 + 3v = 7 + 3(-5 + 7v)
8 + 3v = 7 + (-5 * 3 + 7v * 3)
8 + 3v = 7 + (-15 + 21v)

Combine like terms: 7 + -15 = -8
8 + 3v = -8 + 21v

Solving
8 + 3v = -8 + 21v

Solving for variable 'v'.

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

Add '-21v' to each side of the equation.
8 + 3v + -21v = -8 + 21v + -21v

Combine like terms: 3v + -21v = -18v
8 + -18v = -8 + 21v + -21v

Combine like terms: 21v + -21v = 0
8 + -18v = -8 + 0
8 + -18v = -8

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

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

Combine like terms: -8 + -8 = -16
-18v = -16

Divide each side by '-18'.
v = 0.8888888889

Simplifying
v = 0.8888888889

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