v+(v-32.5)+(v+25.7)=193.4

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Solution for v+(v-32.5)+(v+25.7)=193.4 equation:


Simplifying
v + (v + -32.5) + (v + 25.7) = 193.4

Reorder the terms:
v + (-32.5 + v) + (v + 25.7) = 193.4

Remove parenthesis around (-32.5 + v)
v + -32.5 + v + (v + 25.7) = 193.4

Reorder the terms:
v + -32.5 + v + (25.7 + v) = 193.4

Remove parenthesis around (25.7 + v)
v + -32.5 + v + 25.7 + v = 193.4

Reorder the terms:
-32.5 + 25.7 + v + v + v = 193.4

Combine like terms: -32.5 + 25.7 = -6.8
-6.8 + v + v + v = 193.4

Combine like terms: v + v = 2v
-6.8 + 2v + v = 193.4

Combine like terms: 2v + v = 3v
-6.8 + 3v = 193.4

Solving
-6.8 + 3v = 193.4

Solving for variable 'v'.

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

Add '6.8' to each side of the equation.
-6.8 + 6.8 + 3v = 193.4 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + 3v = 193.4 + 6.8
3v = 193.4 + 6.8

Combine like terms: 193.4 + 6.8 = 200.2
3v = 200.2

Divide each side by '3'.
v = 66.73333333

Simplifying
v = 66.73333333

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