9a-3(a-9)=-6

Solution for 9a-3(a-9)=-6 equation:

Simplifying
9a + -3(a + -9) = -6

Reorder the terms:
9a + -3(-9 + a) = -6
9a + (-9 * -3 + a * -3) = -6
9a + (27 + -3a) = -6

Reorder the terms:
27 + 9a + -3a = -6

Combine like terms: 9a + -3a = 6a
27 + 6a = -6

Solving
27 + 6a = -6

Solving for variable 'a'.

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

Add '-27' to each side of the equation.
27 + -27 + 6a = -6 + -27

Combine like terms: 27 + -27 = 0
0 + 6a = -6 + -27
6a = -6 + -27

Combine like terms: -6 + -27 = -33
6a = -33

Divide each side by '6'.
a = -5.5

Simplifying
a = -5.5