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

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


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

Reorder the terms:
5(4 + v) = -2(5v + -2) + 3v
(4 * 5 + v * 5) = -2(5v + -2) + 3v
(20 + 5v) = -2(5v + -2) + 3v

Reorder the terms:
20 + 5v = -2(-2 + 5v) + 3v
20 + 5v = (-2 * -2 + 5v * -2) + 3v
20 + 5v = (4 + -10v) + 3v

Combine like terms: -10v + 3v = -7v
20 + 5v = 4 + -7v

Solving
20 + 5v = 4 + -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.
20 + 5v + 7v = 4 + -7v + 7v

Combine like terms: 5v + 7v = 12v
20 + 12v = 4 + -7v + 7v

Combine like terms: -7v + 7v = 0
20 + 12v = 4 + 0
20 + 12v = 4

Add '-20' to each side of the equation.
20 + -20 + 12v = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 12v = 4 + -20
12v = 4 + -20

Combine like terms: 4 + -20 = -16
12v = -16

Divide each side by '12'.
v = -1.333333333

Simplifying
v = -1.333333333

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