a=0.2*1.083a+0.5*1.57a

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Solution for a=0.2*1.083a+0.5*1.57a equation: 


Simplifying
a = 0.2 * 1.083a + 0.5 * 1.57a

Multiply 0.2 * 1.083
a = 0.2166a + 0.5 * 1.57a

Multiply 0.5 * 1.57
a = 0.2166a + 0.785a

Combine like terms: 0.2166a + 0.785a = 1.0016a
a = 1.0016a

Solving
a = 1.0016a

Solving for variable 'a'.

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

Add '-1.0016a' to each side of the equation.
a + -1.0016a = 1.0016a + -1.0016a

Combine like terms: a + -1.0016a = -0.0016a
-0.0016a = 1.0016a + -1.0016a

Combine like terms: 1.0016a + -1.0016a = 0.0000
-0.0016a = 0.0000

Divide each side by '-0.0016'.
a = 0

Simplifying
a = 0

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