5.2(8.4-9.5v)=39.52-7.8v

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Solution for 5.2(8.4-9.5v)=39.52-7.8v equation: 


Simplifying
5.2(8.4 + -9.5v) = 39.52 + -7.8v
(8.4 * 5.2 + -9.5v * 5.2) = 39.52 + -7.8v
(43.68 + -49.4v) = 39.52 + -7.8v

Solving
43.68 + -49.4v = 39.52 + -7.8v

Solving for variable 'v'.

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

Add '7.8v' to each side of the equation.
43.68 + -49.4v + 7.8v = 39.52 + -7.8v + 7.8v

Combine like terms: -49.4v + 7.8v = -41.6v
43.68 + -41.6v = 39.52 + -7.8v + 7.8v

Combine like terms: -7.8v + 7.8v = 0.0
43.68 + -41.6v = 39.52 + 0.0
43.68 + -41.6v = 39.52

Add '-43.68' to each side of the equation.
43.68 + -43.68 + -41.6v = 39.52 + -43.68

Combine like terms: 43.68 + -43.68 = 0.00
0.00 + -41.6v = 39.52 + -43.68
-41.6v = 39.52 + -43.68

Combine like terms: 39.52 + -43.68 = -4.16
-41.6v = -4.16

Divide each side by '-41.6'.
v = 0.1

Simplifying
v = 0.1

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