v+(v-32.5)+(v+24.6)=194.6

Solution for v+(v-32.5)+(v+24.6)=194.6 equation:

Simplifying
v + (v + -32.5) + (v + 24.6) = 194.6

Reorder the terms:
v + (-32.5 + v) + (v + 24.6) = 194.6

Remove parenthesis around (-32.5 + v)
v + -32.5 + v + (v + 24.6) = 194.6

Reorder the terms:
v + -32.5 + v + (24.6 + v) = 194.6

Remove parenthesis around (24.6 + v)
v + -32.5 + v + 24.6 + v = 194.6

Reorder the terms:
-32.5 + 24.6 + v + v + v = 194.6

Combine like terms: -32.5 + 24.6 = -7.9
-7.9 + v + v + v = 194.6

Combine like terms: v + v = 2v
-7.9 + 2v + v = 194.6

Combine like terms: 2v + v = 3v
-7.9 + 3v = 194.6

Solving
-7.9 + 3v = 194.6

Solving for variable 'v'.

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

Add '7.9' to each side of the equation.
-7.9 + 7.9 + 3v = 194.6 + 7.9

Combine like terms: -7.9 + 7.9 = 0.0
0.0 + 3v = 194.6 + 7.9
3v = 194.6 + 7.9

Combine like terms: 194.6 + 7.9 = 202.5
3v = 202.5

Divide each side by '3'.
v = 67.5

Simplifying
v = 67.5