-7(4.5v-3.5)=27.5-5.5v

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Solution for -7(4.5v-3.5)=27.5-5.5v equation: 


Simplifying
-7(4.5v + -3.5) = 27.5 + -5.5v

Reorder the terms:
-7(-3.5 + 4.5v) = 27.5 + -5.5v
(-3.5 * -7 + 4.5v * -7) = 27.5 + -5.5v
(24.5 + -31.5v) = 27.5 + -5.5v

Solving
24.5 + -31.5v = 27.5 + -5.5v

Solving for variable 'v'.

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

Add '5.5v' to each side of the equation.
24.5 + -31.5v + 5.5v = 27.5 + -5.5v + 5.5v

Combine like terms: -31.5v + 5.5v = -26v
24.5 + -26v = 27.5 + -5.5v + 5.5v

Combine like terms: -5.5v + 5.5v = 0.0
24.5 + -26v = 27.5 + 0.0
24.5 + -26v = 27.5

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -26v = 27.5 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -26v = 27.5 + -24.5
-26v = 27.5 + -24.5

Combine like terms: 27.5 + -24.5 = 3
-26v = 3

Divide each side by '-26'.
v = -0.1153846154

Simplifying
v = -0.1153846154

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