0.1a+2.9(19-a)=3.3

Solution for 0.1a+2.9(19-a)=3.3 equation:

Simplifying
0.1a + 2.9(19 + -1a) = 3.3
0.1a + (19 * 2.9 + -1a * 2.9) = 3.3
0.1a + (55.1 + -2.9a) = 3.3

Reorder the terms:
55.1 + 0.1a + -2.9a = 3.3

Combine like terms: 0.1a + -2.9a = -2.8a
55.1 + -2.8a = 3.3

Solving
55.1 + -2.8a = 3.3

Solving for variable 'a'.

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

Add '-55.1' to each side of the equation.
55.1 + -55.1 + -2.8a = 3.3 + -55.1

Combine like terms: 55.1 + -55.1 = 0.0
0.0 + -2.8a = 3.3 + -55.1
-2.8a = 3.3 + -55.1

Combine like terms: 3.3 + -55.1 = -51.8
-2.8a = -51.8

Divide each side by '-2.8'.
a = 18.5

Simplifying
a = 18.5