v+(v-31.5)+(v+27.4)=201.4

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Solution for v+(v-31.5)+(v+27.4)=201.4 equation: 


Simplifying
v + (v + -31.5) + (v + 27.4) = 201.4

Reorder the terms:
v + (-31.5 + v) + (v + 27.4) = 201.4

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 27.4) = 201.4

Reorder the terms:
v + -31.5 + v + (27.4 + v) = 201.4

Remove parenthesis around (27.4 + v)
v + -31.5 + v + 27.4 + v = 201.4

Reorder the terms:
-31.5 + 27.4 + v + v + v = 201.4

Combine like terms: -31.5 + 27.4 = -4.1
-4.1 + v + v + v = 201.4

Combine like terms: v + v = 2v
-4.1 + 2v + v = 201.4

Combine like terms: 2v + v = 3v
-4.1 + 3v = 201.4

Solving
-4.1 + 3v = 201.4

Solving for variable 'v'.

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

Add '4.1' to each side of the equation.
-4.1 + 4.1 + 3v = 201.4 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + 3v = 201.4 + 4.1
3v = 201.4 + 4.1

Combine like terms: 201.4 + 4.1 = 205.5
3v = 205.5

Divide each side by '3'.
v = 68.5

Simplifying
v = 68.5

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