6-a=0.3(9a-18)

Solution for 6-a=0.3(9a-18) equation:

Simplifying
6 + -1a = 0.3(9a + -18)

Reorder the terms:
6 + -1a = 0.3(-18 + 9a)
6 + -1a = (-18 * 0.3 + 9a * 0.3)
6 + -1a = (-5.4 + 2.7a)

Solving
6 + -1a = -5.4 + 2.7a

Solving for variable 'a'.

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

Add '-2.7a' to each side of the equation.
6 + -1a + -2.7a = -5.4 + 2.7a + -2.7a

Combine like terms: -1a + -2.7a = -3.7a
6 + -3.7a = -5.4 + 2.7a + -2.7a

Combine like terms: 2.7a + -2.7a = 0.0
6 + -3.7a = -5.4 + 0.0
6 + -3.7a = -5.4

Add '-6' to each side of the equation.
6 + -6 + -3.7a = -5.4 + -6

Combine like terms: 6 + -6 = 0
0 + -3.7a = -5.4 + -6
-3.7a = -5.4 + -6

Combine like terms: -5.4 + -6 = -11.4
-3.7a = -11.4

Divide each side by '-3.7'.
a = 3.081081081

Simplifying
a = 3.081081081