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 = 188.1
3v = 188.1

Divide each side by '3'.
v = 62.7

Simplifying
v = 62.7

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