v+(v-30.8)+(v+23.2)=189.8

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Solution for v+(v-30.8)+(v+23.2)=189.8 equation: 


Simplifying
v + (v + -30.8) + (v + 23.2) = 189.8

Reorder the terms:
v + (-30.8 + v) + (v + 23.2) = 189.8

Remove parenthesis around (-30.8 + v)
v + -30.8 + v + (v + 23.2) = 189.8

Reorder the terms:
v + -30.8 + v + (23.2 + v) = 189.8

Remove parenthesis around (23.2 + v)
v + -30.8 + v + 23.2 + v = 189.8

Reorder the terms:
-30.8 + 23.2 + v + v + v = 189.8

Combine like terms: -30.8 + 23.2 = -7.6
-7.6 + v + v + v = 189.8

Combine like terms: v + v = 2v
-7.6 + 2v + v = 189.8

Combine like terms: 2v + v = 3v
-7.6 + 3v = 189.8

Solving
-7.6 + 3v = 189.8

Solving for variable 'v'.

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

Add '7.6' to each side of the equation.
-7.6 + 7.6 + 3v = 189.8 + 7.6

Combine like terms: -7.6 + 7.6 = 0.0
0.0 + 3v = 189.8 + 7.6
3v = 189.8 + 7.6

Combine like terms: 189.8 + 7.6 = 197.4
3v = 197.4

Divide each side by '3'.
v = 65.8

Simplifying
v = 65.8

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