v+9(v-30.5)+(v-26.8)=201.8

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Solution for v+9(v-30.5)+(v-26.8)=201.8 equation: 


Simplifying
v + 9(v + -30.5) + (v + -26.8) = 201.8

Reorder the terms:
v + 9(-30.5 + v) + (v + -26.8) = 201.8
v + (-30.5 * 9 + v * 9) + (v + -26.8) = 201.8
v + (-274.5 + 9v) + (v + -26.8) = 201.8

Reorder the terms:
v + -274.5 + 9v + (-26.8 + v) = 201.8

Remove parenthesis around (-26.8 + v)
v + -274.5 + 9v + -26.8 + v = 201.8

Reorder the terms:
-274.5 + -26.8 + v + 9v + v = 201.8

Combine like terms: -274.5 + -26.8 = -301.3
-301.3 + v + 9v + v = 201.8

Combine like terms: v + 9v = 10v
-301.3 + 10v + v = 201.8

Combine like terms: 10v + v = 11v
-301.3 + 11v = 201.8

Solving
-301.3 + 11v = 201.8

Solving for variable 'v'.

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

Add '301.3' to each side of the equation.
-301.3 + 301.3 + 11v = 201.8 + 301.3

Combine like terms: -301.3 + 301.3 = 0.0
0.0 + 11v = 201.8 + 301.3
11v = 201.8 + 301.3

Combine like terms: 201.8 + 301.3 = 503.1
11v = 503.1

Divide each side by '11'.
v = 45.73636364

Simplifying
v = 45.73636364

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