6-a=0.22222222222222222222222222222222(9a-8)

Solution for 6-a=0.22222222222222222222222222222222(9a-8) equation:

Simplifying
6 + -1a = 0.22222222222222222222222222222222(9a + -8)

Reorder the terms:
6 + -1a = 0.22222222222222222222222222222222(-8 + 9a)
6 + -1a = (-8 * 0.22222222222222222222222222222222 + 9a * 0.22222222222222222222222222222222)
6 + -1a = (-1.777777778 + 2a)

Solving
6 + -1a = -1.777777778 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + -1a + -2a = -1.777777778 + 2a + -2a

Combine like terms: -1a + -2a = -3a
6 + -3a = -1.777777778 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + -3a = -1.777777778 + 0
6 + -3a = -1.777777778

Add '-6' to each side of the equation.
6 + -6 + -3a = -1.777777778 + -6

Combine like terms: 6 + -6 = 0
0 + -3a = -1.777777778 + -6
-3a = -1.777777778 + -6

Combine like terms: -1.777777778 + -6 = -7.777777778
-3a = -7.777777778

Divide each side by '-3'.
a = 2.592592593

Simplifying
a = 2.592592593