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

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


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

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

Reorder the terms:
-6 + 3v = 5v + 2 + -2(-4 + -5v)
-6 + 3v = 5v + 2 + (-4 * -2 + -5v * -2)
-6 + 3v = 5v + 2 + (8 + 10v)

Reorder the terms:
-6 + 3v = 2 + 8 + 5v + 10v

Combine like terms: 2 + 8 = 10
-6 + 3v = 10 + 5v + 10v

Combine like terms: 5v + 10v = 15v
-6 + 3v = 10 + 15v

Solving
-6 + 3v = 10 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
-6 + 3v + -15v = 10 + 15v + -15v

Combine like terms: 3v + -15v = -12v
-6 + -12v = 10 + 15v + -15v

Combine like terms: 15v + -15v = 0
-6 + -12v = 10 + 0
-6 + -12v = 10

Add '6' to each side of the equation.
-6 + 6 + -12v = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -12v = 10 + 6
-12v = 10 + 6

Combine like terms: 10 + 6 = 16
-12v = 16

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

Simplifying
v = -1.333333333

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