v+(v-31.5)+(v+23.7)=197.7

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Solution for v+(v-31.5)+(v+23.7)=197.7 equation: 


Simplifying
v + (v + -31.5) + (v + 23.7) = 197.7

Reorder the terms:
v + (-31.5 + v) + (v + 23.7) = 197.7

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 23.7) = 197.7

Reorder the terms:
v + -31.5 + v + (23.7 + v) = 197.7

Remove parenthesis around (23.7 + v)
v + -31.5 + v + 23.7 + v = 197.7

Reorder the terms:
-31.5 + 23.7 + v + v + v = 197.7

Combine like terms: -31.5 + 23.7 = -7.8
-7.8 + v + v + v = 197.7

Combine like terms: v + v = 2v
-7.8 + 2v + v = 197.7

Combine like terms: 2v + v = 3v
-7.8 + 3v = 197.7

Solving
-7.8 + 3v = 197.7

Solving for variable 'v'.

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

Add '7.8' to each side of the equation.
-7.8 + 7.8 + 3v = 197.7 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + 3v = 197.7 + 7.8
3v = 197.7 + 7.8

Combine like terms: 197.7 + 7.8 = 205.5
3v = 205.5

Divide each side by '3'.
v = 68.5

Simplifying
v = 68.5

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