v+(v-33.5)+(v+26.8)=195.8

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Solution for v+(v-33.5)+(v+26.8)=195.8 equation:


Simplifying
v + (v + -33.5) + (v + 26.8) = 195.8

Reorder the terms:
v + (-33.5 + v) + (v + 26.8) = 195.8

Remove parenthesis around (-33.5 + v)
v + -33.5 + v + (v + 26.8) = 195.8

Reorder the terms:
v + -33.5 + v + (26.8 + v) = 195.8

Remove parenthesis around (26.8 + v)
v + -33.5 + v + 26.8 + v = 195.8

Reorder the terms:
-33.5 + 26.8 + v + v + v = 195.8

Combine like terms: -33.5 + 26.8 = -6.7
-6.7 + v + v + v = 195.8

Combine like terms: v + v = 2v
-6.7 + 2v + v = 195.8

Combine like terms: 2v + v = 3v
-6.7 + 3v = 195.8

Solving
-6.7 + 3v = 195.8

Solving for variable 'v'.

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

Add '6.7' to each side of the equation.
-6.7 + 6.7 + 3v = 195.8 + 6.7

Combine like terms: -6.7 + 6.7 = 0.0
0.0 + 3v = 195.8 + 6.7
3v = 195.8 + 6.7

Combine like terms: 195.8 + 6.7 = 202.5
3v = 202.5

Divide each side by '3'.
v = 67.5

Simplifying
v = 67.5

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