1+5v=v-6+v+13

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Solution for 1+5v=v-6+v+13 equation: 


Simplifying
1 + 5v = v + -6 + v + 13

Reorder the terms:
1 + 5v = -6 + 13 + v + v

Combine like terms: -6 + 13 = 7
1 + 5v = 7 + v + v

Combine like terms: v + v = 2v
1 + 5v = 7 + 2v

Solving
1 + 5v = 7 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
1 + 5v + -2v = 7 + 2v + -2v

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

Combine like terms: 2v + -2v = 0
1 + 3v = 7 + 0
1 + 3v = 7

Add '-1' to each side of the equation.
1 + -1 + 3v = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3v = 7 + -1
3v = 7 + -1

Combine like terms: 7 + -1 = 6
3v = 6

Divide each side by '3'.
v = 2

Simplifying
v = 2

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