4.5+6.8=10.1a-9.1a+3.2

Solution for 4.5+6.8=10.1a-9.1a+3.2 equation:

Simplifying
4.5 + 6.8 = 10.1a + -9.1a + 3.2

Combine like terms: 4.5 + 6.8 = 11.3
11.3 = 10.1a + -9.1a + 3.2

Reorder the terms:
11.3 = 3.2 + 10.1a + -9.1a

Combine like terms: 10.1a + -9.1a = 1a
11.3 = 3.2 + 1a

Solving
11.3 = 3.2 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
11.3 + -1a = 3.2 + 1a + -1a

Combine like terms: 1a + -1a = 0
11.3 + -1a = 3.2 + 0
11.3 + -1a = 3.2

Add '-11.3' to each side of the equation.
11.3 + -11.3 + -1a = 3.2 + -11.3

Combine like terms: 11.3 + -11.3 = 0.0
0.0 + -1a = 3.2 + -11.3
-1a = 3.2 + -11.3

Combine like terms: 3.2 + -11.3 = -8.1
-1a = -8.1

Divide each side by '-1'.
a = 8.1

Simplifying
a = 8.1