-4(v-2)=-4(v-8)-8v

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Solution for -4(v-2)=-4(v-8)-8v equation:


Simplifying
-4(v + -2) = -4(v + -8) + -8v

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

Reorder the terms:
8 + -4v = -4(-8 + v) + -8v
8 + -4v = (-8 * -4 + v * -4) + -8v
8 + -4v = (32 + -4v) + -8v

Combine like terms: -4v + -8v = -12v
8 + -4v = 32 + -12v

Solving
8 + -4v = 32 + -12v

Solving for variable 'v'.

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

Add '12v' to each side of the equation.
8 + -4v + 12v = 32 + -12v + 12v

Combine like terms: -4v + 12v = 8v
8 + 8v = 32 + -12v + 12v

Combine like terms: -12v + 12v = 0
8 + 8v = 32 + 0
8 + 8v = 32

Add '-8' to each side of the equation.
8 + -8 + 8v = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 8v = 32 + -8
8v = 32 + -8

Combine like terms: 32 + -8 = 24
8v = 24

Divide each side by '8'.
v = 3

Simplifying
v = 3

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