v+(v-31.5)+(v+26.2)=200.2

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Solution for v+(v-31.5)+(v+26.2)=200.2 equation:


Simplifying
v + (v + -31.5) + (v + 26.2) = 200.2

Reorder the terms:
v + (-31.5 + v) + (v + 26.2) = 200.2

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 26.2) = 200.2

Reorder the terms:
v + -31.5 + v + (26.2 + v) = 200.2

Remove parenthesis around (26.2 + v)
v + -31.5 + v + 26.2 + v = 200.2

Reorder the terms:
-31.5 + 26.2 + v + v + v = 200.2

Combine like terms: -31.5 + 26.2 = -5.3
-5.3 + v + v + v = 200.2

Combine like terms: v + v = 2v
-5.3 + 2v + v = 200.2

Combine like terms: 2v + v = 3v
-5.3 + 3v = 200.2

Solving
-5.3 + 3v = 200.2

Solving for variable 'v'.

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

Add '5.3' to each side of the equation.
-5.3 + 5.3 + 3v = 200.2 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + 3v = 200.2 + 5.3
3v = 200.2 + 5.3

Combine like terms: 200.2 + 5.3 = 205.5
3v = 205.5

Divide each side by '3'.
v = 68.5

Simplifying
v = 68.5

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