v+(v-31.5)+(v+24.1)=195.1

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Solution for v+(v-31.5)+(v+24.1)=195.1 equation:


Simplifying
v + (v + -31.5) + (v + 24.1) = 195.1

Reorder the terms:
v + (-31.5 + v) + (v + 24.1) = 195.1

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 24.1) = 195.1

Reorder the terms:
v + -31.5 + v + (24.1 + v) = 195.1

Remove parenthesis around (24.1 + v)
v + -31.5 + v + 24.1 + v = 195.1

Reorder the terms:
-31.5 + 24.1 + v + v + v = 195.1

Combine like terms: -31.5 + 24.1 = -7.4
-7.4 + v + v + v = 195.1

Combine like terms: v + v = 2v
-7.4 + 2v + v = 195.1

Combine like terms: 2v + v = 3v
-7.4 + 3v = 195.1

Solving
-7.4 + 3v = 195.1

Solving for variable 'v'.

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

Add '7.4' to each side of the equation.
-7.4 + 7.4 + 3v = 195.1 + 7.4

Combine like terms: -7.4 + 7.4 = 0.0
0.0 + 3v = 195.1 + 7.4
3v = 195.1 + 7.4

Combine like terms: 195.1 + 7.4 = 202.5
3v = 202.5

Divide each side by '3'.
v = 67.5

Simplifying
v = 67.5

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