5(v+4)=-6(2v-2)+5v

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Solution for 5(v+4)=-6(2v-2)+5v equation:


Simplifying
5(v + 4) = -6(2v + -2) + 5v

Reorder the terms:
5(4 + v) = -6(2v + -2) + 5v
(4 * 5 + v * 5) = -6(2v + -2) + 5v
(20 + 5v) = -6(2v + -2) + 5v

Reorder the terms:
20 + 5v = -6(-2 + 2v) + 5v
20 + 5v = (-2 * -6 + 2v * -6) + 5v
20 + 5v = (12 + -12v) + 5v

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

Solving
20 + 5v = 12 + -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 = 12 + -7v + 7v

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

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

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

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

Combine like terms: 12 + -20 = -8
12v = -8

Divide each side by '12'.
v = -0.6666666667

Simplifying
v = -0.6666666667

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