-5(2v-8)+8v=4(v+8)

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Solution for -5(2v-8)+8v=4(v+8) equation:


Simplifying
-5(2v + -8) + 8v = 4(v + 8)

Reorder the terms:
-5(-8 + 2v) + 8v = 4(v + 8)
(-8 * -5 + 2v * -5) + 8v = 4(v + 8)
(40 + -10v) + 8v = 4(v + 8)

Combine like terms: -10v + 8v = -2v
40 + -2v = 4(v + 8)

Reorder the terms:
40 + -2v = 4(8 + v)
40 + -2v = (8 * 4 + v * 4)
40 + -2v = (32 + 4v)

Solving
40 + -2v = 32 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
40 + -2v + -4v = 32 + 4v + -4v

Combine like terms: -2v + -4v = -6v
40 + -6v = 32 + 4v + -4v

Combine like terms: 4v + -4v = 0
40 + -6v = 32 + 0
40 + -6v = 32

Add '-40' to each side of the equation.
40 + -40 + -6v = 32 + -40

Combine like terms: 40 + -40 = 0
0 + -6v = 32 + -40
-6v = 32 + -40

Combine like terms: 32 + -40 = -8
-6v = -8

Divide each side by '-6'.
v = 1.333333333

Simplifying
v = 1.333333333

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