13+2v+18-10v=12-7v

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Solution for 13+2v+18-10v=12-7v equation:


Simplifying
13 + 2v + 18 + -10v = 12 + -7v

Reorder the terms:
13 + 18 + 2v + -10v = 12 + -7v

Combine like terms: 13 + 18 = 31
31 + 2v + -10v = 12 + -7v

Combine like terms: 2v + -10v = -8v
31 + -8v = 12 + -7v

Solving
31 + -8v = 12 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
31 + -8v + 7v = 12 + -7v + 7v

Combine like terms: -8v + 7v = -1v
31 + -1v = 12 + -7v + 7v

Combine like terms: -7v + 7v = 0
31 + -1v = 12 + 0
31 + -1v = 12

Add '-31' to each side of the equation.
31 + -31 + -1v = 12 + -31

Combine like terms: 31 + -31 = 0
0 + -1v = 12 + -31
-1v = 12 + -31

Combine like terms: 12 + -31 = -19
-1v = -19

Divide each side by '-1'.
v = 19

Simplifying
v = 19

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