4(v+5)=-2(6v-7)+6v

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Solution for 4(v+5)=-2(6v-7)+6v equation: 


Simplifying
4(v + 5) = -2(6v + -7) + 6v

Reorder the terms:
4(5 + v) = -2(6v + -7) + 6v
(5 * 4 + v * 4) = -2(6v + -7) + 6v
(20 + 4v) = -2(6v + -7) + 6v

Reorder the terms:
20 + 4v = -2(-7 + 6v) + 6v
20 + 4v = (-7 * -2 + 6v * -2) + 6v
20 + 4v = (14 + -12v) + 6v

Combine like terms: -12v + 6v = -6v
20 + 4v = 14 + -6v

Solving
20 + 4v = 14 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
20 + 4v + 6v = 14 + -6v + 6v

Combine like terms: 4v + 6v = 10v
20 + 10v = 14 + -6v + 6v

Combine like terms: -6v + 6v = 0
20 + 10v = 14 + 0
20 + 10v = 14

Add '-20' to each side of the equation.
20 + -20 + 10v = 14 + -20

Combine like terms: 20 + -20 = 0
0 + 10v = 14 + -20
10v = 14 + -20

Combine like terms: 14 + -20 = -6
10v = -6

Divide each side by '10'.
v = -0.6

Simplifying
v = -0.6

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