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

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


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

Reorder the terms:
5v + 4 + -2(-3 + -6v) = 2(v + -1)
5v + 4 + (-3 * -2 + -6v * -2) = 2(v + -1)
5v + 4 + (6 + 12v) = 2(v + -1)

Reorder the terms:
4 + 6 + 5v + 12v = 2(v + -1)

Combine like terms: 4 + 6 = 10
10 + 5v + 12v = 2(v + -1)

Combine like terms: 5v + 12v = 17v
10 + 17v = 2(v + -1)

Reorder the terms:
10 + 17v = 2(-1 + v)
10 + 17v = (-1 * 2 + v * 2)
10 + 17v = (-2 + 2v)

Solving
10 + 17v = -2 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
10 + 17v + -2v = -2 + 2v + -2v

Combine like terms: 17v + -2v = 15v
10 + 15v = -2 + 2v + -2v

Combine like terms: 2v + -2v = 0
10 + 15v = -2 + 0
10 + 15v = -2

Add '-10' to each side of the equation.
10 + -10 + 15v = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 15v = -2 + -10
15v = -2 + -10

Combine like terms: -2 + -10 = -12
15v = -12

Divide each side by '15'.
v = -0.8

Simplifying
v = -0.8

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