v+(v-31.5)+(v+24.2)=198.2

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Solution for v+(v-31.5)+(v+24.2)=198.2 equation:


Simplifying
v + (v + -31.5) + (v + 24.2) = 198.2

Reorder the terms:
v + (-31.5 + v) + (v + 24.2) = 198.2

Remove parenthesis around (-31.5 + v)
v + -31.5 + v + (v + 24.2) = 198.2

Reorder the terms:
v + -31.5 + v + (24.2 + v) = 198.2

Remove parenthesis around (24.2 + v)
v + -31.5 + v + 24.2 + v = 198.2

Reorder the terms:
-31.5 + 24.2 + v + v + v = 198.2

Combine like terms: -31.5 + 24.2 = -7.3
-7.3 + v + v + v = 198.2

Combine like terms: v + v = 2v
-7.3 + 2v + v = 198.2

Combine like terms: 2v + v = 3v
-7.3 + 3v = 198.2

Solving
-7.3 + 3v = 198.2

Solving for variable 'v'.

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

Add '7.3' to each side of the equation.
-7.3 + 7.3 + 3v = 198.2 + 7.3

Combine like terms: -7.3 + 7.3 = 0.0
0.0 + 3v = 198.2 + 7.3
3v = 198.2 + 7.3

Combine like terms: 198.2 + 7.3 = 205.5
3v = 205.5

Divide each side by '3'.
v = 68.5

Simplifying
v = 68.5

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