1+4v=v+5+2v-7

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Solution for 1+4v=v+5+2v-7 equation:


Simplifying
1 + 4v = v + 5 + 2v + -7

Reorder the terms:
1 + 4v = 5 + -7 + v + 2v

Combine like terms: 5 + -7 = -2
1 + 4v = -2 + v + 2v

Combine like terms: v + 2v = 3v
1 + 4v = -2 + 3v

Solving
1 + 4v = -2 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
1 + 4v + -3v = -2 + 3v + -3v

Combine like terms: 4v + -3v = 1v
1 + 1v = -2 + 3v + -3v

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

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

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

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

Divide each side by '1'.
v = -3

Simplifying
v = -3

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