4a-3(a+9)=6

Solution for 4a-3(a+9)=6 equation:

Simplifying
4a + -3(a + 9) = 6

Reorder the terms:
4a + -3(9 + a) = 6
4a + (9 * -3 + a * -3) = 6
4a + (-27 + -3a) = 6

Reorder the terms:
-27 + 4a + -3a = 6

Combine like terms: 4a + -3a = 1a
-27 + 1a = 6

Solving
-27 + 1a = 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 + 1a = 6 + 27

Combine like terms: -27 + 27 = 0
0 + 1a = 6 + 27
1a = 6 + 27

Combine like terms: 6 + 27 = 33
1a = 33

Divide each side by '1'.
a = 33

Simplifying
a = 33