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

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


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

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

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

Combine like terms: 7v + -5v = 2v
-5 + 2v = 3v + -5(1 + -1v)
-5 + 2v = 3v + (1 * -5 + -1v * -5)
-5 + 2v = 3v + (-5 + 5v)

Reorder the terms:
-5 + 2v = -5 + 3v + 5v

Combine like terms: 3v + 5v = 8v
-5 + 2v = -5 + 8v

Add '5' to each side of the equation.
-5 + 5 + 2v = -5 + 5 + 8v

Combine like terms: -5 + 5 = 0
0 + 2v = -5 + 5 + 8v
2v = -5 + 5 + 8v

Combine like terms: -5 + 5 = 0
2v = 0 + 8v
2v = 8v

Solving
2v = 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.
2v + -8v = 8v + -8v

Combine like terms: 2v + -8v = -6v
-6v = 8v + -8v

Combine like terms: 8v + -8v = 0
-6v = 0

Divide each side by '-6'.
v = 0

Simplifying
v = 0

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