-3(4v-8)+5v=7(v+2)

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Solution for -3(4v-8)+5v=7(v+2) equation:


Simplifying
-3(4v + -8) + 5v = 7(v + 2)

Reorder the terms:
-3(-8 + 4v) + 5v = 7(v + 2)
(-8 * -3 + 4v * -3) + 5v = 7(v + 2)
(24 + -12v) + 5v = 7(v + 2)

Combine like terms: -12v + 5v = -7v
24 + -7v = 7(v + 2)

Reorder the terms:
24 + -7v = 7(2 + v)
24 + -7v = (2 * 7 + v * 7)
24 + -7v = (14 + 7v)

Solving
24 + -7v = 14 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
24 + -7v + -7v = 14 + 7v + -7v

Combine like terms: -7v + -7v = -14v
24 + -14v = 14 + 7v + -7v

Combine like terms: 7v + -7v = 0
24 + -14v = 14 + 0
24 + -14v = 14

Add '-24' to each side of the equation.
24 + -24 + -14v = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -14v = 14 + -24
-14v = 14 + -24

Combine like terms: 14 + -24 = -10
-14v = -10

Divide each side by '-14'.
v = 0.7142857143

Simplifying
v = 0.7142857143

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