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

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


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

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

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

Combine like terms: 3 + 8 = 11
11 + 4v + 10v = 2(v + -2)

Combine like terms: 4v + 10v = 14v
11 + 14v = 2(v + -2)

Reorder the terms:
11 + 14v = 2(-2 + v)
11 + 14v = (-2 * 2 + v * 2)
11 + 14v = (-4 + 2v)

Solving
11 + 14v = -4 + 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.
11 + 14v + -2v = -4 + 2v + -2v

Combine like terms: 14v + -2v = 12v
11 + 12v = -4 + 2v + -2v

Combine like terms: 2v + -2v = 0
11 + 12v = -4 + 0
11 + 12v = -4

Add '-11' to each side of the equation.
11 + -11 + 12v = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 12v = -4 + -11
12v = -4 + -11

Combine like terms: -4 + -11 = -15
12v = -15

Divide each side by '12'.
v = -1.25

Simplifying
v = -1.25

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