3(v-1)=3v+3-2(-7v-5)

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Solution for 3(v-1)=3v+3-2(-7v-5) equation:


Simplifying
3(v + -1) = 3v + 3 + -2(-7v + -5)

Reorder the terms:
3(-1 + v) = 3v + 3 + -2(-7v + -5)
(-1 * 3 + v * 3) = 3v + 3 + -2(-7v + -5)
(-3 + 3v) = 3v + 3 + -2(-7v + -5)

Reorder the terms:
-3 + 3v = 3v + 3 + -2(-5 + -7v)
-3 + 3v = 3v + 3 + (-5 * -2 + -7v * -2)
-3 + 3v = 3v + 3 + (10 + 14v)

Reorder the terms:
-3 + 3v = 3 + 10 + 3v + 14v

Combine like terms: 3 + 10 = 13
-3 + 3v = 13 + 3v + 14v

Combine like terms: 3v + 14v = 17v
-3 + 3v = 13 + 17v

Solving
-3 + 3v = 13 + 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.
-3 + 3v + -17v = 13 + 17v + -17v

Combine like terms: 3v + -17v = -14v
-3 + -14v = 13 + 17v + -17v

Combine like terms: 17v + -17v = 0
-3 + -14v = 13 + 0
-3 + -14v = 13

Add '3' to each side of the equation.
-3 + 3 + -14v = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -14v = 13 + 3
-14v = 13 + 3

Combine like terms: 13 + 3 = 16
-14v = 16

Divide each side by '-14'.
v = -1.142857143

Simplifying
v = -1.142857143

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