-2(5v-8)+5v=3(v+2)

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Solution for -2(5v-8)+5v=3(v+2) equation: 


Simplifying
-2(5v + -8) + 5v = 3(v + 2)

Reorder the terms:
-2(-8 + 5v) + 5v = 3(v + 2)
(-8 * -2 + 5v * -2) + 5v = 3(v + 2)
(16 + -10v) + 5v = 3(v + 2)

Combine like terms: -10v + 5v = -5v
16 + -5v = 3(v + 2)

Reorder the terms:
16 + -5v = 3(2 + v)
16 + -5v = (2 * 3 + v * 3)
16 + -5v = (6 + 3v)

Solving
16 + -5v = 6 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
16 + -5v + -3v = 6 + 3v + -3v

Combine like terms: -5v + -3v = -8v
16 + -8v = 6 + 3v + -3v

Combine like terms: 3v + -3v = 0
16 + -8v = 6 + 0
16 + -8v = 6

Add '-16' to each side of the equation.
16 + -16 + -8v = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -8v = 6 + -16
-8v = 6 + -16

Combine like terms: 6 + -16 = -10
-8v = -10

Divide each side by '-8'.
v = 1.25

Simplifying
v = 1.25

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