-1.1(1.1+11.3v)-0.5=-9.9(-13.8v+9.3)+9.2

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Solution for -1.1(1.1+11.3v)-0.5=-9.9(-13.8v+9.3)+9.2 equation:


Simplifying
-1.1(1.1 + 11.3v) + -0.5 = -9.9(-13.8v + 9.3) + 9.2
(1.1 * -1.1 + 11.3v * -1.1) + -0.5 = -9.9(-13.8v + 9.3) + 9.2
(-1.21 + -12.43v) + -0.5 = -9.9(-13.8v + 9.3) + 9.2

Reorder the terms:
-1.21 + -0.5 + -12.43v = -9.9(-13.8v + 9.3) + 9.2

Combine like terms: -1.21 + -0.5 = -1.71
-1.71 + -12.43v = -9.9(-13.8v + 9.3) + 9.2

Reorder the terms:
-1.71 + -12.43v = -9.9(9.3 + -13.8v) + 9.2
-1.71 + -12.43v = (9.3 * -9.9 + -13.8v * -9.9) + 9.2
-1.71 + -12.43v = (-92.07 + 136.62v) + 9.2

Reorder the terms:
-1.71 + -12.43v = -92.07 + 9.2 + 136.62v

Combine like terms: -92.07 + 9.2 = -82.87
-1.71 + -12.43v = -82.87 + 136.62v

Solving
-1.71 + -12.43v = -82.87 + 136.62v

Solving for variable 'v'.

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

Add '-136.62v' to each side of the equation.
-1.71 + -12.43v + -136.62v = -82.87 + 136.62v + -136.62v

Combine like terms: -12.43v + -136.62v = -149.05v
-1.71 + -149.05v = -82.87 + 136.62v + -136.62v

Combine like terms: 136.62v + -136.62v = 0.00
-1.71 + -149.05v = -82.87 + 0.00
-1.71 + -149.05v = -82.87

Add '1.71' to each side of the equation.
-1.71 + 1.71 + -149.05v = -82.87 + 1.71

Combine like terms: -1.71 + 1.71 = 0.00
0.00 + -149.05v = -82.87 + 1.71
-149.05v = -82.87 + 1.71

Combine like terms: -82.87 + 1.71 = -81.16
-149.05v = -81.16

Divide each side by '-149.05'.
v = 0.5445152633

Simplifying
v = 0.5445152633

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