6v+8-4(-2v-1)=4(v-1)

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Solution for 6v+8-4(-2v-1)=4(v-1) equation: 


Simplifying
6v + 8 + -4(-2v + -1) = 4(v + -1)

Reorder the terms:
6v + 8 + -4(-1 + -2v) = 4(v + -1)
6v + 8 + (-1 * -4 + -2v * -4) = 4(v + -1)
6v + 8 + (4 + 8v) = 4(v + -1)

Reorder the terms:
8 + 4 + 6v + 8v = 4(v + -1)

Combine like terms: 8 + 4 = 12
12 + 6v + 8v = 4(v + -1)

Combine like terms: 6v + 8v = 14v
12 + 14v = 4(v + -1)

Reorder the terms:
12 + 14v = 4(-1 + v)
12 + 14v = (-1 * 4 + v * 4)
12 + 14v = (-4 + 4v)

Solving
12 + 14v = -4 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
12 + 14v + -4v = -4 + 4v + -4v

Combine like terms: 14v + -4v = 10v
12 + 10v = -4 + 4v + -4v

Combine like terms: 4v + -4v = 0
12 + 10v = -4 + 0
12 + 10v = -4

Add '-12' to each side of the equation.
12 + -12 + 10v = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 10v = -4 + -12
10v = -4 + -12

Combine like terms: -4 + -12 = -16
10v = -16

Divide each side by '10'.
v = -1.6

Simplifying
v = -1.6

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