5v+2=7v+8+v

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Solution for 5v+2=7v+8+v equation:


Simplifying
5v + 2 = 7v + 8 + v

Reorder the terms:
2 + 5v = 7v + 8 + v

Reorder the terms:
2 + 5v = 8 + 7v + v

Combine like terms: 7v + v = 8v
2 + 5v = 8 + 8v

Solving
2 + 5v = 8 + 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.
2 + 5v + -8v = 8 + 8v + -8v

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

Combine like terms: 8v + -8v = 0
2 + -3v = 8 + 0
2 + -3v = 8

Add '-2' to each side of the equation.
2 + -2 + -3v = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 8 + -2
-3v = 8 + -2

Combine like terms: 8 + -2 = 6
-3v = 6

Divide each side by '-3'.
v = -2

Simplifying
v = -2

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