v+(v-24.5)+(v+30.7)=196.9

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Solution for v+(v-24.5)+(v+30.7)=196.9 equation:


Simplifying
v + (v + -24.5) + (v + 30.7) = 196.9

Reorder the terms:
v + (-24.5 + v) + (v + 30.7) = 196.9

Remove parenthesis around (-24.5 + v)
v + -24.5 + v + (v + 30.7) = 196.9

Reorder the terms:
v + -24.5 + v + (30.7 + v) = 196.9

Remove parenthesis around (30.7 + v)
v + -24.5 + v + 30.7 + v = 196.9

Reorder the terms:
-24.5 + 30.7 + v + v + v = 196.9

Combine like terms: -24.5 + 30.7 = 6.2
6.2 + v + v + v = 196.9

Combine like terms: v + v = 2v
6.2 + 2v + v = 196.9

Combine like terms: 2v + v = 3v
6.2 + 3v = 196.9

Solving
6.2 + 3v = 196.9

Solving for variable 'v'.

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

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 3v = 196.9 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 3v = 196.9 + -6.2
3v = 196.9 + -6.2

Combine like terms: 196.9 + -6.2 = 190.7
3v = 190.7

Divide each side by '3'.
v = 63.56666667

Simplifying
v = 63.56666667

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