v+(v-31.5)+(v+25.8)=193.8

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Solution for v+(v-31.5)+(v+25.8)=193.8 equation: 


Simplifying
v + (v + -31.5) + (v + 25.8) = 193.8

Reorder the terms:
v + (-31.5 + v) + (v + 25.8) = 193.8

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 25.8) = 193.8

Reorder the terms:
v + -31.5 + v + (25.8 + v) = 193.8

Remove parenthesis around (25.8 + v)
v + -31.5 + v + 25.8 + v = 193.8

Reorder the terms:
-31.5 + 25.8 + v + v + v = 193.8

Combine like terms: -31.5 + 25.8 = -5.7
-5.7 + v + v + v = 193.8

Combine like terms: v + v = 2v
-5.7 + 2v + v = 193.8

Combine like terms: 2v + v = 3v
-5.7 + 3v = 193.8

Solving
-5.7 + 3v = 193.8

Solving for variable 'v'.

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

Add '5.7' to each side of the equation.
-5.7 + 5.7 + 3v = 193.8 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + 3v = 193.8 + 5.7
3v = 193.8 + 5.7

Combine like terms: 193.8 + 5.7 = 199.5
3v = 199.5

Divide each side by '3'.
v = 66.5

Simplifying
v = 66.5

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