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

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


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

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

Combine like terms: 5 + -4 = 1
1 + 6v = -2(6v + -5) + 3v

Reorder the terms:
1 + 6v = -2(-5 + 6v) + 3v
1 + 6v = (-5 * -2 + 6v * -2) + 3v
1 + 6v = (10 + -12v) + 3v

Combine like terms: -12v + 3v = -9v
1 + 6v = 10 + -9v

Solving
1 + 6v = 10 + -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.
1 + 6v + 9v = 10 + -9v + 9v

Combine like terms: 6v + 9v = 15v
1 + 15v = 10 + -9v + 9v

Combine like terms: -9v + 9v = 0
1 + 15v = 10 + 0
1 + 15v = 10

Add '-1' to each side of the equation.
1 + -1 + 15v = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 15v = 10 + -1
15v = 10 + -1

Combine like terms: 10 + -1 = 9
15v = 9

Divide each side by '15'.
v = 0.6

Simplifying
v = 0.6

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