v+(v-31.7)+(v+23.6)=189.0

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Solution for v+(v-31.7)+(v+23.6)=189.0 equation:


Simplifying
v + (v + -31.7) + (v + 23.6) = 189.0

Reorder the terms:
v + (-31.7 + v) + (v + 23.6) = 189.0

Remove parenthesis around (-31.7 + v)
v + -31.7 + v + (v + 23.6) = 189.0

Reorder the terms:
v + -31.7 + v + (23.6 + v) = 189.0

Remove parenthesis around (23.6 + v)
v + -31.7 + v + 23.6 + v = 189.0

Reorder the terms:
-31.7 + 23.6 + v + v + v = 189.0

Combine like terms: -31.7 + 23.6 = -8.1
-8.1 + v + v + v = 189.0

Combine like terms: v + v = 2v
-8.1 + 2v + v = 189.0

Combine like terms: 2v + v = 3v
-8.1 + 3v = 189.0

Solving
-8.1 + 3v = 189.0

Solving for variable 'v'.

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

Add '8.1' to each side of the equation.
-8.1 + 8.1 + 3v = 189.0 + 8.1

Combine like terms: -8.1 + 8.1 = 0.0
0.0 + 3v = 189.0 + 8.1
3v = 189.0 + 8.1

Combine like terms: 189.0 + 8.1 = 197.1
3v = 197.1

Divide each side by '3'.
v = 65.7

Simplifying
v = 65.7

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