2-3v-1=-3-8v+4-15

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Solution for 2-3v-1=-3-8v+4-15 equation: 


Simplifying
2 + -3v + -1 = -3 + -8v + 4 + -15

Reorder the terms:
2 + -1 + -3v = -3 + -8v + 4 + -15

Combine like terms: 2 + -1 = 1
1 + -3v = -3 + -8v + 4 + -15

Reorder the terms:
1 + -3v = -3 + 4 + -15 + -8v

Combine like terms: -3 + 4 = 1
1 + -3v = 1 + -15 + -8v

Combine like terms: 1 + -15 = -14
1 + -3v = -14 + -8v

Solving
1 + -3v = -14 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
1 + -3v + 8v = -14 + -8v + 8v

Combine like terms: -3v + 8v = 5v
1 + 5v = -14 + -8v + 8v

Combine like terms: -8v + 8v = 0
1 + 5v = -14 + 0
1 + 5v = -14

Add '-1' to each side of the equation.
1 + -1 + 5v = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 5v = -14 + -1
5v = -14 + -1

Combine like terms: -14 + -1 = -15
5v = -15

Divide each side by '5'.
v = -3

Simplifying
v = -3

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