9v+1-2(-3v-2)=5(v-2)

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Solution for 9v+1-2(-3v-2)=5(v-2) equation:


Simplifying
9v + 1 + -2(-3v + -2) = 5(v + -2)

Reorder the terms:
9v + 1 + -2(-2 + -3v) = 5(v + -2)
9v + 1 + (-2 * -2 + -3v * -2) = 5(v + -2)
9v + 1 + (4 + 6v) = 5(v + -2)

Reorder the terms:
1 + 4 + 9v + 6v = 5(v + -2)

Combine like terms: 1 + 4 = 5
5 + 9v + 6v = 5(v + -2)

Combine like terms: 9v + 6v = 15v
5 + 15v = 5(v + -2)

Reorder the terms:
5 + 15v = 5(-2 + v)
5 + 15v = (-2 * 5 + v * 5)
5 + 15v = (-10 + 5v)

Solving
5 + 15v = -10 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
5 + 15v + -5v = -10 + 5v + -5v

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

Combine like terms: 5v + -5v = 0
5 + 10v = -10 + 0
5 + 10v = -10

Add '-5' to each side of the equation.
5 + -5 + 10v = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 10v = -10 + -5
10v = -10 + -5

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

Divide each side by '10'.
v = -1.5

Simplifying
v = -1.5

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