v+(v-30.4)+(v+27.2)=199.0

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Solution for v+(v-30.4)+(v+27.2)=199.0 equation:


Simplifying
v + (v + -30.4) + (v + 27.2) = 199.0

Reorder the terms:
v + (-30.4 + v) + (v + 27.2) = 199.0

Remove parenthesis around (-30.4 + v)
v + -30.4 + v + (v + 27.2) = 199.0

Reorder the terms:
v + -30.4 + v + (27.2 + v) = 199.0

Remove parenthesis around (27.2 + v)
v + -30.4 + v + 27.2 + v = 199.0

Reorder the terms:
-30.4 + 27.2 + v + v + v = 199.0

Combine like terms: -30.4 + 27.2 = -3.2
-3.2 + v + v + v = 199.0

Combine like terms: v + v = 2v
-3.2 + 2v + v = 199.0

Combine like terms: 2v + v = 3v
-3.2 + 3v = 199.0

Solving
-3.2 + 3v = 199.0

Solving for variable 'v'.

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

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 3v = 199.0 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 3v = 199.0 + 3.2
3v = 199.0 + 3.2

Combine like terms: 199.0 + 3.2 = 202.2
3v = 202.2

Divide each side by '3'.
v = 67.4

Simplifying
v = 67.4

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