v+(v-30.5)+(v+24.7)=199.1

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Solution for v+(v-30.5)+(v+24.7)=199.1 equation:


Simplifying
v + (v + -30.5) + (v + 24.7) = 199.1

Reorder the terms:
v + (-30.5 + v) + (v + 24.7) = 199.1

Remove parenthesis around (-30.5 + v)
v + -30.5 + v + (v + 24.7) = 199.1

Reorder the terms:
v + -30.5 + v + (24.7 + v) = 199.1

Remove parenthesis around (24.7 + v)
v + -30.5 + v + 24.7 + v = 199.1

Reorder the terms:
-30.5 + 24.7 + v + v + v = 199.1

Combine like terms: -30.5 + 24.7 = -5.8
-5.8 + v + v + v = 199.1

Combine like terms: v + v = 2v
-5.8 + 2v + v = 199.1

Combine like terms: 2v + v = 3v
-5.8 + 3v = 199.1

Solving
-5.8 + 3v = 199.1

Solving for variable 'v'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 3v = 199.1 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 3v = 199.1 + 5.8
3v = 199.1 + 5.8

Combine like terms: 199.1 + 5.8 = 204.9
3v = 204.9

Divide each side by '3'.
v = 68.3

Simplifying
v = 68.3

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