-5(v+4)=3v-6+2(3v+1)

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Solution for -5(v+4)=3v-6+2(3v+1) equation:


Simplifying
-5(v + 4) = 3v + -6 + 2(3v + 1)

Reorder the terms:
-5(4 + v) = 3v + -6 + 2(3v + 1)
(4 * -5 + v * -5) = 3v + -6 + 2(3v + 1)
(-20 + -5v) = 3v + -6 + 2(3v + 1)

Reorder the terms:
-20 + -5v = 3v + -6 + 2(1 + 3v)
-20 + -5v = 3v + -6 + (1 * 2 + 3v * 2)
-20 + -5v = 3v + -6 + (2 + 6v)

Reorder the terms:
-20 + -5v = -6 + 2 + 3v + 6v

Combine like terms: -6 + 2 = -4
-20 + -5v = -4 + 3v + 6v

Combine like terms: 3v + 6v = 9v
-20 + -5v = -4 + 9v

Solving
-20 + -5v = -4 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
-20 + -5v + -9v = -4 + 9v + -9v

Combine like terms: -5v + -9v = -14v
-20 + -14v = -4 + 9v + -9v

Combine like terms: 9v + -9v = 0
-20 + -14v = -4 + 0
-20 + -14v = -4

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

Combine like terms: -20 + 20 = 0
0 + -14v = -4 + 20
-14v = -4 + 20

Combine like terms: -4 + 20 = 16
-14v = 16

Divide each side by '-14'.
v = -1.142857143

Simplifying
v = -1.142857143

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