-4(v-5)+3v=-6-7(v-8)

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Solution for -4(v-5)+3v=-6-7(v-8) equation: 


Simplifying
-4(v + -5) + 3v = -6 + -7(v + -8)

Reorder the terms:
-4(-5 + v) + 3v = -6 + -7(v + -8)
(-5 * -4 + v * -4) + 3v = -6 + -7(v + -8)
(20 + -4v) + 3v = -6 + -7(v + -8)

Combine like terms: -4v + 3v = -1v
20 + -1v = -6 + -7(v + -8)

Reorder the terms:
20 + -1v = -6 + -7(-8 + v)
20 + -1v = -6 + (-8 * -7 + v * -7)
20 + -1v = -6 + (56 + -7v)

Combine like terms: -6 + 56 = 50
20 + -1v = 50 + -7v

Solving
20 + -1v = 50 + -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 + -1v + 7v = 50 + -7v + 7v

Combine like terms: -1v + 7v = 6v
20 + 6v = 50 + -7v + 7v

Combine like terms: -7v + 7v = 0
20 + 6v = 50 + 0
20 + 6v = 50

Add '-20' to each side of the equation.
20 + -20 + 6v = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 6v = 50 + -20
6v = 50 + -20

Combine like terms: 50 + -20 = 30
6v = 30

Divide each side by '6'.
v = 5

Simplifying
v = 5

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