0.1a+0.3(30-a)=6.4

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Solution for 0.1a+0.3(30-a)=6.4 equation: 


Simplifying
0.1a + 0.3(30 + -1a) = 6.4
0.1a + (30 * 0.3 + -1a * 0.3) = 6.4
0.1a + (9 + -0.3a) = 6.4

Reorder the terms:
9 + 0.1a + -0.3a = 6.4

Combine like terms: 0.1a + -0.3a = -0.2a
9 + -0.2a = 6.4

Solving
9 + -0.2a = 6.4

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + -0.2a = 6.4 + -9

Combine like terms: 9 + -9 = 0
0 + -0.2a = 6.4 + -9
-0.2a = 6.4 + -9

Combine like terms: 6.4 + -9 = -2.6
-0.2a = -2.6

Divide each side by '-0.2'.
a = 13

Simplifying
a = 13

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