v+(v-31.7)+(v+24.5)=198.9

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Solution for v+(v-31.7)+(v+24.5)=198.9 equation: 


Simplifying
v + (v + -31.7) + (v + 24.5) = 198.9

Reorder the terms:
v + (-31.7 + v) + (v + 24.5) = 198.9

Remove parenthesis around (-31.7 + v)
v + -31.7 + v + (v + 24.5) = 198.9

Reorder the terms:
v + -31.7 + v + (24.5 + v) = 198.9

Remove parenthesis around (24.5 + v)
v + -31.7 + v + 24.5 + v = 198.9

Reorder the terms:
-31.7 + 24.5 + v + v + v = 198.9

Combine like terms: -31.7 + 24.5 = -7.2
-7.2 + v + v + v = 198.9

Combine like terms: v + v = 2v
-7.2 + 2v + v = 198.9

Combine like terms: 2v + v = 3v
-7.2 + 3v = 198.9

Solving
-7.2 + 3v = 198.9

Solving for variable 'v'.

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

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 3v = 198.9 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 3v = 198.9 + 7.2
3v = 198.9 + 7.2

Combine like terms: 198.9 + 7.2 = 206.1
3v = 206.1

Divide each side by '3'.
v = 68.7

Simplifying
v = 68.7

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