0.41-0.02a=0.5(0.784a-23.9)

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Solution for 0.41-0.02a=0.5(0.784a-23.9) equation: 


Simplifying
0.41 + -0.02a = 0.5(0.784a + -23.9)

Reorder the terms:
0.41 + -0.02a = 0.5(-23.9 + 0.784a)
0.41 + -0.02a = (-23.9 * 0.5 + 0.784a * 0.5)
0.41 + -0.02a = (-11.95 + 0.392a)

Solving
0.41 + -0.02a = -11.95 + 0.392a

Solving for variable 'a'.

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

Add '-0.392a' to each side of the equation.
0.41 + -0.02a + -0.392a = -11.95 + 0.392a + -0.392a

Combine like terms: -0.02a + -0.392a = -0.412a
0.41 + -0.412a = -11.95 + 0.392a + -0.392a

Combine like terms: 0.392a + -0.392a = 0.000
0.41 + -0.412a = -11.95 + 0.000
0.41 + -0.412a = -11.95

Add '-0.41' to each side of the equation.
0.41 + -0.41 + -0.412a = -11.95 + -0.41

Combine like terms: 0.41 + -0.41 = 0.00
0.00 + -0.412a = -11.95 + -0.41
-0.412a = -11.95 + -0.41

Combine like terms: -11.95 + -0.41 = -12.36
-0.412a = -12.36

Divide each side by '-0.412'.
a = 30

Simplifying
a = 30

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