2(v-1)=8v+1-3(-3v-5)

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Solution for 2(v-1)=8v+1-3(-3v-5) equation:


Simplifying
2(v + -1) = 8v + 1 + -3(-3v + -5)

Reorder the terms:
2(-1 + v) = 8v + 1 + -3(-3v + -5)
(-1 * 2 + v * 2) = 8v + 1 + -3(-3v + -5)
(-2 + 2v) = 8v + 1 + -3(-3v + -5)

Reorder the terms:
-2 + 2v = 8v + 1 + -3(-5 + -3v)
-2 + 2v = 8v + 1 + (-5 * -3 + -3v * -3)
-2 + 2v = 8v + 1 + (15 + 9v)

Reorder the terms:
-2 + 2v = 1 + 15 + 8v + 9v

Combine like terms: 1 + 15 = 16
-2 + 2v = 16 + 8v + 9v

Combine like terms: 8v + 9v = 17v
-2 + 2v = 16 + 17v

Solving
-2 + 2v = 16 + 17v

Solving for variable 'v'.

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

Add '-17v' to each side of the equation.
-2 + 2v + -17v = 16 + 17v + -17v

Combine like terms: 2v + -17v = -15v
-2 + -15v = 16 + 17v + -17v

Combine like terms: 17v + -17v = 0
-2 + -15v = 16 + 0
-2 + -15v = 16

Add '2' to each side of the equation.
-2 + 2 + -15v = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -15v = 16 + 2
-15v = 16 + 2

Combine like terms: 16 + 2 = 18
-15v = 18

Divide each side by '-15'.
v = -1.2

Simplifying
v = -1.2

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