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

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


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

Reorder the terms:
-8(-2 + v) = -4(v + -8) + -8v
(-2 * -8 + v * -8) = -4(v + -8) + -8v
(16 + -8v) = -4(v + -8) + -8v

Reorder the terms:
16 + -8v = -4(-8 + v) + -8v
16 + -8v = (-8 * -4 + v * -4) + -8v
16 + -8v = (32 + -4v) + -8v

Combine like terms: -4v + -8v = -12v
16 + -8v = 32 + -12v

Solving
16 + -8v = 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.
16 + -8v + 12v = 32 + -12v + 12v

Combine like terms: -8v + 12v = 4v
16 + 4v = 32 + -12v + 12v

Combine like terms: -12v + 12v = 0
16 + 4v = 32 + 0
16 + 4v = 32

Add '-16' to each side of the equation.
16 + -16 + 4v = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 4v = 32 + -16
4v = 32 + -16

Combine like terms: 32 + -16 = 16
4v = 16

Divide each side by '4'.
v = 4

Simplifying
v = 4

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